Question

If triangle MNO is congruent to triangle PQR, which statement is not true?

segment MN ≅ segment QP
^ would this be the untrue statement?

∠N ≅ ∠Q

segment NO ≅ segment QR

∠O ≅ ∠R

Answer 1

the first one is the untrue statement

Answer 2

Answer: segment MN ≅ segment QP

Explanation:

We know that if two triangles are congruent then their corresponding sides and angles are congruent.

Therefore, If triangle MNO is congruent to triangle PQR.

Then, segment MN ≅ segment PQ not segment QP [by CPCTC]

because PQ is the corresponding to side MN.

∠N ≅ ∠Q [by CPCTC]

segment NO ≅ segment QR [by CPCTC]

∠O ≅ ∠R [by CPCTC]

Therefore, the untrue statement will be:

segment MN ≅ segment QP