Question

in triangle abc and triangle pqr ab=rp and angle a = angle write the third condition for which two triangles are congruent by asa congruence rule

Answer 1

in triangle ABC and PQR , AB=AC. angle C =angle p and angleB =angle Q

in such cases these triangles are called isosceles triangle

the reason is described below.

in triangle ABC;AB=AC

so, triangle ABC is an isosceles triangle.

it is given that

angle C = angle P. (1)

ANGLE B = angle Q. (2)

given that in triangle ABC ; AB =

AC

so angle B = angle C. (3)

from 1,2,and 3

Angle P = angle Q

So, PR=QR in triangle PQR

this shows that the traingle PQR is an isosceles trian