# In triangles ABC

Given: ΔABC and ΔPQR, AB = AC, C = P and B = Q

AB = AC

B = C (opposite angles to equal sides are equal)

Hence, ΔABC is an isosceles triangle.

C = P and B = Q (given)

P = Q (∵∠B = C)

QR = PR (opposite sides to equal angles are equal)

Hence, ΔPQR is an isosceles triangle.

So, the two triangles are isosceles but not congruent.

As AAA is not the criterion for a triangle to be congruent.

Hence, option A is correct.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Prove that the anRS Aggarwal & V Aggarwal - Mathematics

If the sides of aRD Sharma - Mathematics

D is any point onNCERT Mathematics Exemplar

In a triangle RD Sharma - Mathematics

In Δ ABCRD Sharma - Mathematics

In Δ PQRRD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics

Prove that the peRD Sharma - Mathematics

In Fig. 10.25, <iRD Sharma - Mathematics

In a <span lang="RD Sharma - Mathematics