ML AGGARWAL CLASS 7 Chapter 12 Congruence of Triangles Exercise 12.2

 Exercise 12.2

Question 1

$\overline{D F}=\overline{M P}$

Question 2

$\triangle R A T \cong \triangle W O N$

Question 3

$\angle A=\angle P$

Question 4

(i)Yes, $\triangle D E F \cong \triangle Q P R$ by ASA congruence 

(ii) No, Not congruent

(iii) No, Not congruent

Question 5

(i)

$\begin{aligned} \angle B A C=& \angle A B D=30^{\circ} \\ \angle C B A &=\angle D A B=75^{\circ} \\ \overline{A B} &=\overline{B A} \end{aligned}$

(ii) Yes, By ASA Congruency

 (iii) Yes, By congruent parts

Question 6

(i) $\angle B A C=\angle D A C$

$\angle B C A=\angle D C A$

$\overline{A C}=\overline{A C}$

(ii) Yes, by ASA congruency 

 (iii) Yes, by congruent parts

(iv) yes, by congruent parts

Question 7

$\overline{B C}=\overline{E D}$

$\angle A B C=\angle D E F$

$\angle B A C=\angle E F D$

Question 8

(i) Yes, $\triangle A B C \cong \triangle R P Q$

 

(ii) No

Question 9

(i) $\overline{P Q}=\overline{P R}$

$\begin{aligned} \angle P S O &=\angle P S R=90^{\circ} \\ \overline{P S} &=\overline{P S} \end{aligned}$

(ii) By ASA rule $\triangle P O S \cong \triangle P R S$

(iii) Yes, by congruent parts 

$\overline{Q S}=\overline{S R}$

∴ 'S' is mid -point of $\overline{QR}$

Question 10

$\angle A O C=\angle B O D$

$\angle \overline{A O}=\overline{O B}$

$\angle C A O=\angle D B O$

By ASA congruency 

$\triangle A O C \cong \triangle B O D$