+0

# congruent Isosceles Triangle

0
500
1

I've been trying to do this one for a bit,deleted my wrong answer from the box,

since Q are common in both of them,I assumed that would help with the working out Oct 4, 2018

#1
+2

We are given that PQR  is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are congruent,

∠PQR  =  ∠PRQ

And we are given that

∠MRQ  =  ∠NQR

And we know that  QR  =  QR

Now if we split the triangles in the picture up we can see it more clearly... By the ASA congruency theorem, we can say that △QNR is congruent to △RMQ.

Oct 4, 2018

#1
+2

We are given that PQR  is an isosceles triangle in which PQ = PR .

Since the base angles of an isosceles triangle are congruent,

∠PQR  =  ∠PRQ

And we are given that

∠MRQ  =  ∠NQR

And we know that  QR  =  QR

Now if we split the triangles in the picture up we can see it more clearly... By the ASA congruency theorem, we can say that △QNR is congruent to △RMQ.

hectictar Oct 4, 2018