State, whether the pairs of triangles given in the following figures are congruent or not:
Question types
Congruency: Congruent Triangles question types
23 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
23
Questions
5
Question groups
5
Question types
01
[1 Mark Question Answer]
5 Q→02[2 Mark Question Answer]
3 Q→03[3 marks sum]
7 Q→04[4 marks sum]
6 Q→05[5 marks sum]
2 Q→Sample Questions
Congruency: Congruent Triangles 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, whether the pairs of triangles given in the following figures are congruent or not:
State, whether the pairs of triangles given in the following figures are congruent or not:
State, whether the pairs of triangles given in the following figures are congruent or not:
State, whether the pairs of triangles given in the following figures are congruent or not:
In the given figure, prove that: $B D=B C$.
View full solution →Prove that:
(i) $\triangle A B C \cong \triangle A D C$
(ii) $\angle B=\angle D$
View full solution →(i) $\triangle A B C \cong \triangle A D C$
(ii) $\angle B=\angle D$
In the given figure, prove that:
(i) $\triangle ACB \cong \triangle ECD$
(ii) $A B=E D$
View full solution →(i) $\triangle ACB \cong \triangle ECD$
(ii) $A B=E D$
In the given figure prove that:
(i) $P Q=R S$
(ii) $P S=Q R$
View full solution →(i) $P Q=R S$
(ii) $P S=Q R$
In the given figure ;
$
\angle 1=\angle 2 \text { and } A B=A C \text {. }
$
Prove that:
(i) $\angle B=\angle C$
(ii) $BD = DC$
(iii) $A D$ is perpendicular to $B C$.
View full solution →$
\angle 1=\angle 2 \text { and } A B=A C \text {. }
$
Prove that:
(i) $\angle B=\angle C$
(ii) $BD = DC$
(iii) $A D$ is perpendicular to $B C$.
In the given figure, prove that: $\triangle A B D \cong \triangle A C D$
View full solution →The given figure shows a triangle $A B C$ in which $A D$ is perpendicular to side $B C$ and $B D=C D$. Prove that:
(i) $\triangle A B D \cong \triangle A C D$
(ii) $A B=A C$
(iii) $\angle B=\angle C$
View full solution →(i) $\triangle A B D \cong \triangle A C D$
(ii) $A B=A C$
(iii) $\angle B=\angle C$
State, whether the pairs of triangles given in the following figures are congruent or not:
State, whether the pairs of triangles given in the following figures are congruent or not:
Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.
Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.
Use the information given in the following figure to prove triangles $A B D$ and $C B D$ are congruent. Also, find the values of $x$ and $y$.
View full solution →$A B C$ is an equilateral triangle, $A D$ and $B E$ are perpendiculars to $B C$ and $A C$ respectively. Prove that:
(i) $AD = BE$
(ii) $BD = CE$
View full solution →(i) $AD = BE$
(ii) $BD = CE$
In the given figure, prove that:
(i) $\triangle AOD \cong \triangle BOC$
(ii) $A D=B C$
(iii) $\angle ADB =\angle ACB$
(iv) $\triangle ADB \cong \triangle BCA$
View full solution →(i) $\triangle AOD \cong \triangle BOC$
(ii) $A D=B C$
(iii) $\angle ADB =\angle ACB$
(iv) $\triangle ADB \cong \triangle BCA$
Prove that:
(i) $\triangle ABD \cong \triangle ACD$
(ii) $\angle B=\angle C$
(iii) $\angle ADB =\angle ADC$
(iv) $\angle A D B=90^{\circ}$
View full solution →(i) $\triangle ABD \cong \triangle ACD$
(ii) $\angle B=\angle C$
(iii) $\angle ADB =\angle ADC$
(iv) $\angle A D B=90^{\circ}$
Prove that:
(i) $\triangle ABD \cong \triangle ACD$
(ii) $\angle B=\angle C$
(iii) $\angle ADB =\angle ADC$
(iv) $\angle A D B=90^{\circ}$
View full solution →(i) $\triangle ABD \cong \triangle ACD$
(ii) $\angle B=\angle C$
(iii) $\angle ADB =\angle ADC$
(iv) $\angle A D B=90^{\circ}$
Prove that:
(i) $\triangle A B C \cong \triangle A D C$
(ii) $\angle B=\angle D$
(iii) $A C$ bisects angle $D C B$
View full solution →(i) $\triangle A B C \cong \triangle A D C$
(ii) $\angle B=\angle D$
(iii) $A C$ bisects angle $D C B$
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