Question types
Triangles question types
424 questions across 9 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
424
Questions
9
Question groups
5
Question types
01
M.C.Q
274 Q→02Assertion (A) & Reason (B) MCQ
58 Q→03True False[1 Marks ]
25 Q→04Fill In The Blanks[1 Marks ]
27 Q→051 Marks Question
9 Q→062 Marks Questions
13 Q→073 Marks Question
7 Q→085 Marks Questions
3 Q→09Case study (4 Marks)
8 Q→Sample Questions
Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
An angle is 4 time its complement. Find measure.
Which of the following is not a criterion for congruence of triangles?
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°.
Reason: Equilateral triangle is always obtuse angled triangle.
Assertion: Each angle of equilateral triangle is always 50°.
Reason: Equilateral triangle is always obtuse angled triangle.
- 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.
- Assertion is true but the reason is false.
- Both assertion and reason are false.
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°.
Reason: In a triangle, angles opposite to equal sides are equal.
View full solution →Assertion: In $\triangle\text{ABC},$ AB = AC and $\angle\text{B}=50^\circ,$ then $\angle\text{C}$ is 50°.
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.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true.
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 = 4cm and PR = 5cm. Then the length of PQ is 2cm.
Reason: The sides opposite to equal angle are unequal.
View full solution →Assertion: In $\triangle\text{PQR},$ $\angle\text{R}=\angle\text{P}$ and QR = 4cm and PR = 5cm. Then the length of PQ is 2cm.
Reason: The sides opposite to equal angle are unequal.
- 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.
- Assertion is true but the reason is false.
- Both assertion and reason are false.
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.
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.
- 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.
- Assertion is true but the reason is false.
- Both assertion and reason are false.
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.
Assertion: Angles opposite to equal sides of a triangle are equal.
Reason: Sides opposite to equal angles of a triangle are not equal.
- Both assertion and reason are true and reason is the correct explanation of assertion.
- Both assertion and reason are true but reason is not the correct explanation of assertion.
- Assertion is true but reason is false.
- Assertion is false but reason is true.
If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.
All the angles of a triangle can be equal to 60°.
Sum of the three angles of a triangle is 180°.
An exterior angle of a triangle is less than either of its interior opposite angles.
Difference of any two sides of a triangle is equal to the third side.
(Sum of any two sides of a triangle) _______ (twice the median to the 3rd side).
(Difference of any two sides of a triangle) ______ (the third side).
In an equilateral triangle all angles are __________.
If altitudes CE and BF of a triangle ABC are equal, then AB = _______.
If two angles of a triangle are unequal, then the smaller angle has the _______ side opposite to it.
AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB (See figure)
D is a point on side BC of $\triangle$ABC such that AD = AC (see Fig.). Show that AB > AD.
View full solution →ABC is an isosceles triangle with AB = AC. Draw AP $\perp$ BC to show that $\angle$B = $\angle$C.
View full solution →BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that a triangle ABC is isosceles.
ABC is a right-angled triangle in which $\angle $A = ${90^ \circ }$ and AB = AC. Find $\angle $B and $\angle $C.
View full solution →ABC and DBC are two isosceles triangles on the same base BC. Show that ∠ABD = ∠ACD.
$\text{ABC}$ is a triangle in which altitudes $BE$ and $CF$ to sides $AC$ and $AB$ are equal. Show that $\triangle \mathrm { ABE } \cong \triangle \mathrm { ACF }, AB = AC$ i.e. $\triangle ABC$ is an isosceles triangle.
View full solution →Angles opposite to equal sides of an isosceles triangle are equal.This result can be proved in many ways. One of the proofs is given here.
AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that
View full solution →- AD bisects BC
- AD bisects $\angle$A.
Show that the angles of an equilateral triangle are 60° each.
$\Delta$ ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB(See figure). Show that $\angle$ BCD is a right angle.
View full solution →Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.
In a toy game, a robot starts from Home, picks an object from the Shop, delivers it to the Client and goes back Home.
8. Which is the longest segment of the path travelled by the robot? Write the correct words.
9. Rita says, ‘For two triangles to be congruent, any three parameters of the six (3 sides and 3 angles) should be equal.’
Give examples in favour of and against her statement.
10. ‘Two triangles with a pair of equal angles are congruent.’
Why is it necessary to have the side between the two angles be of the same length for both the
triangles?
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