Question

. In triangles ABC and PQR, AB = AC, angle C = angle P and angle B = angle Q. The two triangles are
a. isosceles but not congruent b. isosceles and congruent

C. congruent but not isosceles d. neither congruent nor isosceles​

Answer 1

Answer:

b) Isosceles and congruent

Step-by-step explanation:

they r isosceles as AB = AC similarly RQ =RP

and they are congruent by AAS congruence rule

Answer 2

Answer:

a) isosceles but not congurant

Step-by-step explanation:

Given:

ΔABC and ΔPQR

AB=AC

∠C = ∠P

∠B = ∠Q

To find: whether triangles are congruent or isosceles

Solution:

In triangle ABC

AB = AC,

∠B = ∠C (angles opp. to equal sides)

Now,

∠C = ∠P and ∠B = ∠Q

∠Q = ∠P

So in triangle PQR

PR=QR (sides opp. to equal angles)

Hence isosceles

So, both triangles are Isosceles but not congruent

#SPJ3