Question

In PQR and LMN, PQ= LM, QR=MN and RQ and NM are extended to X and Y respectively and PQX = LMY. Prove that PQR ≅ LMN.

Answer 1

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Answer 2

Answer:

This is proved using SAS congruency.

Step-by-step explanation:

We are given two triangles PQR and LMN.

Also, PQ= LM, QR=MN

RQ and NM are extended to X and Y respectively.

angle PQX and LMY are equal.

We will prove both the triangles congruent.

We need three conditions for that.

PQ= LM (Given)

QR=MN (Given)

And

angle PQX = angle LMY

Hence, triangles PQR and LMN are congruent.

Hence, proved.

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