Question

If triangle MNO is congruent to triangle PQR, which statement is not true? A) segment MN ≅ segment QP. B) ∠N ≅ ∠Q. C) segment NO ≅ segment QR. D) ∠O ≅ ∠R

Answer 1

Given that the triangle MNO and PQR are congruent triangles, their corresponding parts should be congruent. This means that their corresponding angles and segments should have the same measure. Upon carefully examining the choices, the answer to the question above is letter A. 

Answer 2

Answer: A) segment MN ≡ segment QP

If two triangles are congruent, they have corresponding sides and corresponding angles congruent.

In order to find which are the corresponding sides, you need to be careful about the order of the letters, and therefore of the vertices (see picture attached).

From the congruency, we can say:
∠M ≡ ∠P
∠N ≡ ∠Q (statement B)
∠O ≡ ∠R (statement D)
MN ≡ PQ
NO ≡ QR (statement C)
OM ≡ RP

Hence, the only statement which is not true is A) segment MN ≡ segment QP.