State giving reason, the pair of congruent triangle. Write down the name of triangle with congruent sign in case, wherever they are congruent :
Question types
Congruence question types
42 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
42
Questions
5
Question groups
5
Question types
01
[2 Mark Question Answer]
5 Q→02[4 marks sum]
14 Q→03TRUE / FALSE
6 Q→04Fill in the blanks.
5 Q→05MCQ
12 Q→Sample Questions
Congruence questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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State giving reason, the pair of congruent triangle. Write down the name of triangle with congruent sign in case, wherever they are congruent :
State giving reason, the pair of congruent triangle. Write down the name of triangle with congruent sign in case, wherever they are congruent :
State giving reason, the pair of congruent triangle. Write down the name of triangle with congruent sign in case, wherever they are congruent :
State giving reason, the pair of congruent triangle. Write down the name of triangle with congruent sign in case, wherever they are congruent :
In the given figure, we have $P Q=S R$ and $P R=S Q$.
Prove that :
(i) $\triangle PQR \cong \triangle SRQ$
(ii) $\angle PQR =\angle SRQ$
View full solution →Prove that :
(i) $\triangle PQR \cong \triangle SRQ$
(ii) $\angle PQR =\angle SRQ$
In the given figure, $P L \perp O A$ and $P M \perp O B$ such that $O L=O M$.
Prove that :
(i) $\triangle OLP \equiv \triangle OMP$
(ii) $PL = PM$
(iii) $\angle LOP =\angle MOP$
View full solution →Prove that :
(i) $\triangle OLP \equiv \triangle OMP$
(ii) $PL = PM$
(iii) $\angle LOP =\angle MOP$
In the given figure, $A B \perp B D, C D \perp B D$ and $A B=C D$.
Prove that :
(i) $\triangle ABD \equiv \triangle CDB$
(ii) $AD = CB$
View full solution →Prove that :
(i) $\triangle ABD \equiv \triangle CDB$
(ii) $AD = CB$
In the given figure, we have $A O=B O$ and $C O=D O$.
Prove that :
(i) $\triangle AOC \cong \triangle BOD$
(ii) $AC = BD$
View full solution →Prove that :
(i) $\triangle AOC \cong \triangle BOD$
(ii) $AC = BD$
In the given figure, $\angle S P R=\angle Q R P$ and $\angle R S P=\angle P Q R$.
Prove that :
(i) $PQ = RS$
(ii) $PS = QR$
View full solution →Prove that :
(i) $PQ = RS$
(ii) $PS = QR$
If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle, then the triangles are congruent.
If two equilateral triangles are equal in area, they are congruent.
If two figures have equal areas, they are congruent.
If two squares have equal areas, they are congruent.
All concentric circles are congruent.
Two congruent triangles are always __________ .
If two triangles are congruent, then they have corresponding __________ equal.
If two triangles are similar, then they have corresponding __________ equal.
Two squares are congruent if they have __________ .
Two triangles having corresponding angles equal are always __________ .
Two triangles are congruent. Between them, which of the following can be different?
- Aarea
- Bperimeter
- Cshape
- ✓orientation
Answer: D.
View full solution →If $\triangle A B C \cong \triangle D E F$, then
- AAB = DF
- ✓BC = EF
- CAC = DE
- DAll of these
Answer: B.
View full solution →Which of the following is not a condition for triangles to be congruent?
- ASSS
- BSAS
- CASA
- ✓AAA
Answer: D.
View full solution →Two circles are said to be congruent only if
- Athey have the same centre
- ✓they have the same radius
- Cthey have the same centre and same radius
- Dthey have the same radius and lie on different planes
Answer: B.
View full solution →Two angles are congruent if they have
- Aa common vertex
- Ba common arm
- ✓the same measure
- Dequal lengths of their arms
Answer: C.
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