MCQ 11 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In a right triangle, the longest side is hypotenus.
Reason: The side opposite to the largest angle will be the smallest one.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 21 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If we draw two triangles with angles $30^\circ , 70^\circ $ and $80^\circ $ and the length of the sides of one triangle be different than that of the corresponding sides of the other triangle then two triangles are not congruent.
Reason: If two triangles are constructed which have all corresponding angles equal but have unequal corresponding sides, then two triangles cannot be congruent to each other.
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
In $\triangle\text{ABC}$ and $\triangle\text{PQR}$
$\angle\text{A}=\angle\text{P},\angle\text{B}=\angle\text{Q},\angle\text{C}=\angle\text{R}$
But sides are different There is no rule of congruence as A.
$\triangle\text{ABC}\not\cong\triangle\text{PQR}$ View full question & answer→MCQ 31 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Equiangular means equal angles.
Reason: All isosceles triangle are equilangular.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 41 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\triangle\text{ABC}$ and $\triangle\text{DBC}$ are two isosceles triangles on the same base $BC$ and vertices $A$ and $D$ are on the same side of $BC$. If $AD$ is extended to intersect $BC$ at $E$, then $\triangle\text{ABD} \cong \triangle\text{ACD}.$
Reason:
If in two right triangles, hypotenuse and one side of a triangle are equal to the hypotenuse and one side of other triangle, then the two triangles are congruent. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 51 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $ \triangle\text{ABC},$ $\angle\text{C}=\angle\text{A},$ $BC = 4\ cm$ and $AC = 5\ cm$. Then, $AB = 4\ cm$.
Reason: In a triangle, angles opposite to two equal sides are equal. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 61 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A straight line drawn from the apex to the base is known as the altitude of the triangle.
Reason: The length of this line is the height of the triangle.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 71 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $ \triangle\text{ABC},$ AB = AC and $\angle\text{B} = 50^\circ,$ then $\angle\text{C}$ is $50^\circ $.
Reason: Angles opposite to equal sides of a triangle are equal. - ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 81 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In triangles $ABC$ and $PQR$, $\angle{A}= \angle\text{P}, \angle\text{C}=\angle\text{R}$ and $AC = PR$. The two triangles are congruent by $ASA$ congruence.
Reason: If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the two triangles are congruent.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 91 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In congruent triangle corresponding part are equal.
Reason: Two triangles are congruent if any two pairs of angle and pairs of corresponding sides are equal.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 101 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC},$ $AB = AC$ and $\angle\text{B}=50^\circ,$ then $\angle\text{C}$ is $50^\circ$.
Reason: In a triangle, angles opposite to equal sides are equal.
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
Since $AB = AC$
then $\angle\text{B}=\angle\text{C}$ View full question & answer→MCQ 111 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{PQR},$ $\angle\text{R}=\angle\text{P}$ and $QR = 4\ cm$ and $PR = 5\ cm$. Then the length of $PQ$ is $2\ cm$.
Reason: The sides opposite to equal angle are unequal.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 121 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC},$ $\angle\text{A}=100^\circ,$ $\angle\text{B}=30^\circ$ and $\angle\text{C}=50^\circ$ then $AB >$ $AC$.
Reason: The side opposite to largest angle is longest side of triangle.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 131 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In$ \triangle\text{ABC},$ $D$ is the midpoint of $BC$. If $DL I AB$ and $DM I AC$ such that $DL = DM$, then $BL = CM$
.
Reason: If two angles and the included side of one triangle are equal to two angles. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 141 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In the adjoining figure, $X$ and $Y$ are respectively two points on equal sides $AB$ and $AC$ of $\triangle\text{ABC}$ such that AX = AY then $CX = BY$.
Reason: If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent. - ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 151 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Equilateral means unequal side.
Reason: All equilateral triangle are not isosceles.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 161 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The triangle in which two sides are equal is called isosceles triangle.
Reason: Angle opposite to equal sides of an isosceles triangle are unequal.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 171 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: A scalene triangle can be an obtuse - angled, acute - angled or right - angled triangle.
Reason: In a scalene obtuse triangle, the circumcenter will lie outside the triangle.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 181 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: All the sides and angle are unequal are called scalene triangle.
Reason: Scalene triangle has point of symmetry.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 191 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In an equilateral triangle, median, angle bisector, and altitude for all sides are all the same.
Reason: The area of an equilateral triangle is $\sqrt{3\text{a}}^\frac{2}{4}$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 201 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the sides of a triangle are $9\ cm, 13\ cm$ and $14\ cm$. $36$ its perimeter.
Reason: Perimeter of triangle $= a + b + c$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 211 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the bisector of the vertical angle of a triangle bisects the base of the triangle, then the triangle is equilateral. Reason: If three sides of one triangle are equal to three of the other triangle, then the two triangles are congruent.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
Assertion is false but reason is true.
View full question & answer→MCQ 221 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In the given figure, $ABCD$ is a quadrilateral in which $\text{AB}\parallel \text{DC}$ and $P$ is the midpoint of $BC$. On producing, $AP$ and $DC$ meet at $Q$ then $DQ = DC + AB$.
Reason: If two sides and the included angle of one triangle are equal to two sides. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 231 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC},$ $BC = AB$ and $B = 80^\circ $. Then, $\angle\text{A}=50^\circ$.
Reason: In a triangle, angles opposite to two equal sides are equal.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 241 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In triangles $ABC$ and $PQR, AB = AC$, $\angle\text{C}=\angle\text{P}$ and $\angle\text{B}=\angle\text{Q}.$ The two triangles are isosceles but not congruent.
Reason: Two isosceles triangle are always congruent.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 251 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two triangles are said to be congruent to each other if two angles and one side of one triangle are equal to two angles and one side of the other triangle.
Reason: $\angle\text{B}=\angle\text{Q},\angle\text{C}=\angle\text{R}$ and sides between $\angle\text{B}$ and $\angle\text{C},\angle\text{Q}$ and $\angle\text{R}$ are equal to each other i.e. $BC = QR$. Hence, $\triangle\text{ABC}\cong\triangle\text{PQR}$ by $AAS$ test.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 261 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the base and the altitude of a triangle are $4\ cm$ and $8\ cm$ respectively, then its area is $36\ cm^2$.
Reason: Area of a triangle $\frac{1}{2}\times$ base $\times$ altitude.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- ✓
Assertion is false but reason is true.
AnswerCorrect option: D. Assertion is false but reason is true.
Assertion is false but reason is true.
View full question & answer→MCQ 271 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In a quadrilateral $ABCD, AC = AD$ and $AB$ bisects $\angle\text{A}$ (see figure) by $SAS$ congruence criteria.
Reason: Two triangles are congruent if two sides and the included angle of one triangle is equal to the corresponding two sides and included angle of the other. - ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
In $\triangle\text{ACB}$ and $\triangle\text{ADB}$
$\text{AC}=\text{AD}$ [Given]
$\angle\text{CAB}=\angle\text{DAB}$ [AB bisects $\angle\text{A}$]
$\text{AB}=\text{AB}$ [common]
$\triangle\text{ACB}\cong\triangle\text{ADB}$ [By $SAS$ congruence rule]
View full question & answer→MCQ 281 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In ABC, $\angle\text{A}=\angle\text{C}$ and $BC = 4\ cm$ and $AC = 3\ cm$ then the length of side $AB = 3\ cm$.
Reason: Sides opposite to equal angles of a triangle are equal. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 291 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If any of the incenter, orthocenter or centroid coincide with the circumcenter of a triangle, then it is called an equilateral trtriangle.
Reason: Height of equilateral triangle is $\sqrt{\frac{3\text{a}}{4}}$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 301 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: All equiangular triangles are isosceles.
Reason: All equilateral triangle are equiangular.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 311 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If the altitudes from two vertices of a triangle to the opposite sides are equal, then the triangle is an isosceles triangle.
Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent. - ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 321 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In a $\triangle\text{ABC},$ if $AB = AC$ and $\angle\text{B}=70^\circ, \angle\text{A}=40.$
Reason: Sum of angle of triangle is $179^\circ$.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 331 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Each angle of equilateral triangle is $60^\circ$.
Reason: All angles are equal then it is called equilateral triangle.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 341 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.
Reason: The altitude from the apex of an isosceles triangle divides the triangle into two congruent right - angled triangles.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 351 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The vertex of the triangle that is opposite is called the apex.
Reason: The angle at the apex of the triangle is called the vertex angle.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 361 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $SSA$ is a criterion for the congruence of triangles.
Reason: $SAS, ASA$ and $SSS$ are not the criteria for the congruence of triangles.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 371 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: When two triangles are congruent then their corresponding angles are equal.
Reason: Two triangles are congruent if their shapes and size are not same.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. Assertion is true but reason is false.
Assertion is true but reason is false.
View full question & answer→MCQ 381 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $D$ is a point on side $BC$ of $\triangle\text{ABC}$ such that $AD = AC$ then $AB < AD$.
Reason: In any triangle, the side opposite to the larger (greater) angle is smaller.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 391 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Scalene triangle has all its three angles different in measures and obeys the angle sum property.
Reason: The sum of the three interior angles equals $150$ degree.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 401 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In triangles $ABC$ and $PQR$, $\angle\text{A}=\angle\text{P},\angle\text{C}=\angle\text{R}$ and $AC = PR$. The two triangles are congruent by $ASA$ congruence.
Reason: If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by $ASA$ congruence criteria.
- ✓
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- C
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: A. Both assertion and reason are true and reason is the correct explanation of assertion.
$\angle\text{A}=\angle\text{P},\angle\text{C}=\angle\text{R}$ and $AC = PR$
$\triangle\text{ABC}\cong\triangle\text{PQR}$ [$ASA$ congruence rule] View full question & answer→MCQ 411 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $ABC$ is an equilateral triangle, then each angle equals to $60^\circ $
Reason: Equilateral triangle has all its sides equal and each angle measures $60^\circ$.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 421 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC},$ $AB = AC$ and $\angle\text{B}=50^\circ.$ Then $\angle\text{C}$ is equal to $50^\circ$.
Reason: The given triangle is an isosceles triangle, the angles opposite to the equal sides are also equal.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 431 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Angles opposite to equal sides of a triangle are equal.
Reason: Sides opposite to equal angles of a triangle are not equal.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. Assertion is true but reason is false.
Assertion is true but reason is false.
View full question & answer→MCQ 441 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two figures are congruent if they have same shape and same size.
Reason: Two circles of different radii are congruent.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 451 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In the given figure, $BO$ and $CO$ are the bisectors of $\angle\text{B}$ and $\angle\text{C}$ respectively. If $\angle\text{A}= 50^\circ$ then $\angle\text{BOC} = 115^\circ$
Reason: The sum of all the interior angles of a triangle is $180^\circ$. - ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 461 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Triangle consist three side, three vertices.
Reason: Triangle is open polygon.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 471 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Sides opposite to equal angles of a triangle are equal.
Reason: Angles opposite to equal sides of a triangle are not equal.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 481 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Each angle of equilateral triangle is always $50^\circ $.
Reason: Equilateral triangle is always obtuse angled triangle.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- ✓
Both assertion and reason are false.
AnswerCorrect option: D. Both assertion and reason are false.
Both assertion and reason are false.
View full question & answer→MCQ 491 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The area of the scalene triangle $ABC$ with the sides 8cm, 6cm and 4cm is $11.6cm^2$.
Reason: $\text{Area of triangle}=\sqrt{\text{s}(\text{s}−\text{a})(\text{s}−\text{b})(\text{s}−\text{c})}.$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 501 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If length of the largest side of a triangle is $12\ cm$ then other two sides of triangle can be $4.8\ cm$, $8.2\ cm$.
Reason: Sum of any two sides of a triangle is greater than the third side.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 511 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: $\text{Area of triangle}=\frac{1}{2}\times\text{base}\times\text{height}$
Reason: $\text{Area of right angled triangle} = \frac{1}{2}\times\text{product of side making }90^\circ$
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 521 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: All the sides of a square are of equal length.
Reason: All squares are congruent.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 531 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In the given figure, $BE$ and $CF$ are two equal altitudes of $\triangle\text{ABC}$ then $\triangle\text{ABE}\cong\triangle\text{ACF}$
Reason: If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 541 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC}$ and $\triangle\text{PQR},$ $AB = PQ, AC = PR$ and $\angle\text{BAC}=\angle\text{QPR}$ $\triangle\text{ABC}\cong\triangle\text{PQR}$
Reason: Both the triangles are congruent by $SSS$ congruence.
- A
Both assertion and reason are true and reason is the correct explanation of assertion.
- B
Both assertion and reason are true but reason is not the correct explanation of assertion.
- ✓
Assertion is true but reason is false.
- D
Assertion is false but reason is true.
AnswerCorrect option: C. Assertion is true but reason is false.
In $\triangle\text{ABC}$ and $\triangle\text{PQR}$
$\text{AB}=\text{PQ}$
$\text{AC}=\text{PR}$
$\angle\text{BAC}=\angle\text{QPR}$
$\triangle\text{ABC}\cong\triangle\text{PQR}$ (By $SAS$ Rule) View full question & answer→MCQ 551 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two angles measures $a - 60^\circ $ and $123^\circ - 2a$. If each one is opposite to equal sides of an isosceles triangle, then the value of a is $61^\circ $.
Reason: Sides opposite to equal angles of a triangle are equal.
- A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- ✓
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: B. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
View full question & answer→MCQ 561 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent. Reason: If $ \frac{\text{AB}}{\text{XY}}=\frac{\text{BC}}{\text{YZ}}=\frac{\text{AC}}{\text{XZ}}$ then $\triangle\text{ABC}\sim\triangle\text{XYZ}.$
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→MCQ 571 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In$ \triangle\text{ABC}$ and $\triangle\text{PQR}, $ $AB = PQ, AC = PR$ and $\angle\text{BAC}=\angle\text{QPR}$ then $\triangle\text{ABC}\cong\triangle\text{PQR}.$
Reason: Both the triangles are congruent by $SSS$ congruence. - A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: C. Assertion is true but the reason is false.
Assertion is true but the reason is false.
View full question & answer→MCQ 581 Mark
Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two sides of a triangle are of lengths $5\ cm$ and $1.5\ cm$. The length of the third side of the triangle cannot be $3.4$.
Reason: The difference between the two sides of a triangle should be less than the third side.
- ✓
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- B
Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- C
Assertion is true but the reason is false.
- D
Both assertion and reason are false.
AnswerCorrect option: A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
View full question & answer→