Question

4. In ∆ABC and ∆PQR, AB=PQ and AC=PR. Name two angle from two triangles

that must be equal so that the two triangles are congruent.​

Answer 1

Answer:

ANSWER

In △ABC and △PQR

∠C=∠P (Given)

∠B=∠Q (Given)

∠A=∠R (Third angle of the triangle)

Thus, △ABC∼△PQR

Also, given, AB=AC

Thus, ∠B=∠C (Isosceles triangle Property)

But, ∠B=∠Q and ∠C=∠P

Hence, ∠Q=∠P

or PR=QR

Thus, both the triangles are Isosceles but not congruent.