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MATHS Assertion (A) & Reason (B) MCQ

The Triangles and Its Properties · Gujarat Board (GSEB) STD 7 (GSEB - English Medium). 15 questions.

Questions

Assertion (A) & Reason (B) MCQ

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15 questions · auto-graded multiple-choice test.

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: 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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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: 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 correct explanation for Assertion.
  • ✓
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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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: 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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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: 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 correct explanation for Assertion.
  • ✓
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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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: $ABC$ 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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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: 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • ✓
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: C.
Assertion is true but reason is false.
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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 $\triangle\text{ABC}$ and $\triangle\text{PQR}$, $AB = PQ, AC = PR$ and $\triangle\text{PQR} = \angle\text{QPR} $ then $\triangle\text{ABC} = \triangle\text{PQR}$
Reason: Both the triangles are congruent by $SSS$ congruence.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • ✓
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: C.
Assertion is true but reason is false.
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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 $\triangle\text{ABC}$, $D$ 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 correct explanation for Assertion.
  • ✓
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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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: 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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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 $\triangle\text{ABC}$ $D$ 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 correct explanation for Assertion.
  • ✓
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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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: 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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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: equilateral means unequal side.
Reason: all equilateral triangle are not isosceles.
  • A
    Both Assertion and reason are correct and reason is correct explanation for Assertion.
  • B
    both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • ✓
    Both Assertion and reason are false.
Answer
Correct option: D.
Both Assertion and reason are false.
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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 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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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 given figure, $ABCD$ is a quadrilateral in which $AB\ ||\ DC$ 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 correct explanation for Assertion.
  • ✓
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: B.
Both Assertion and reason are correct but reason is not correct explanation for Assertion.
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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: 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 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 correct explanation for Assertion.
  • B
    Both Assertion and reason are correct but reason is not correct explanation for Assertion.
  • C
    Assertion is true but reason is false.
  • D
    Both Assertion and reason are false.
Answer
Correct option: A.
Both Assertion and reason are correct and reason is correct explanation for Assertion.
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