Question

$In\Delta ABCand\Delta PQR,\text{it is given that AB = AC,}\angle C=\angle Pand\angle B=\angle Q.\text{Then, the two triangles are}\text{(a) isosceles but not congruent}\text{(b) isosceles and congruent}\text{(c) congruent but not isosceles}\text{(d) neither congruent nor isosceles}$

Answer 1

ANSWER:
(a) isosceles but not congruent
AB =AC ⇒∠C=∠B⇒∠P=∠Q
[∵∠C=∠P and ∠B=∠Q]
Thus, both the triangles are isosceles but not congruent.