Question

If PR = QS,then prove that PQ=RS on a line segment

Answer 1

Given
PR=QS
PQ+QR=RS+QR
Subtracting QR from both sides of the equation
PQ=RS

Answer 2

Answer:

From the given statement, we must consider PQRS as a straight line, where P, Q, R and S are followed by one another.

                           PQ = RS from the diagram.

                   PQ + QR = QR + RS ( by using addition postulate)

                   PQ + QR = PR (segment addition, betweeness)

                    QR + RS = QS (segment addition, betweeness)

Therefore, the segment PR must be equal to QS.

Hence proved.