# Answer to Question #2713 in Discrete Mathematics for kiley

Question #2713

Given: Collinear points, P, Q, R, and S

PQ=SR

Prove: PR=SQ

PQ=SR

Prove: PR=SQ

Expert's answer

<img src="../../..//assignments/uploaded_files/static/8d/5f/8d5f2752c219466c95d41acb4efb28f7.png" title="" alt="">

Let PQ=SR=a, and QR=b.

Then PR = PQ+QR=a+b, and SQ=QR+RS = b+a.

Hence PR=SQ.

Let PQ=SR=a, and QR=b.

Then PR = PQ+QR=a+b, and SQ=QR+RS = b+a.

Hence PR=SQ.

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