Question

Given: Collinear points, P, Q, R, and S
PQ=SR

Prove: PR=SQ

Answer 1

<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.