Question

please answer the image

Answer 1

Answer:

C

Step-by-step explanation:

If Angle C = Angle P and Angle B = Angle Q then by angle sum property Angle A = Angle R

so all angles are equal so both triangles are congruent

Answer 2

${\huge{\pink{\underline{\underline{Answes}}}}}$

• $\sf{Option = (a) \:Isosceles \:but \:not \:congruent}$

Explaining ;

GIVEN

$\sf{\:In \:triangle \:ABC \:and \:PQR ;)}$

• $\sf{AB = AC}$
• $\sf{∠C = ∠P}$
• $\sf{∠B = ∠Q}$

TO FIND

$\sf{The \:two \:triangle \:are = ?¿}$

NOW;

$~~~~~~~~~~\sf{In \:∆ABC \:and \:∆PQR}$

• $\sf{∠C = ∠P}$$\sf\red{(\therefore Given)}$
• $\sf{∠B = ∠Q}$$\sf\blue{(\therefore Given)}$
• $\sf{∠A = ∠R}$$\sf\green{(\therefore \:Three \:angle \:of \:triangle)}$

$~~~~~~~~~~\sf{In \:∆ABC ≅ \:∆PQR}$

$\sf{They \:gave ; AB = AC}$

So ;

$\sf{∠B = ∠C}$$\sf\orange{(\therefore Isosceles \:triangle \:Property)}$

As We know ;

$\sf{∠B = ∠Q}$ and $\sf{∠C = ∠P}$

Hence $\sf{∠Q = ∠P}$

Thus, both the triangles are Isosceles but not congruent.