Question

Draw a line segment PQ = 8 cm , Using a pair of compasses , find the point R such that PR = RQ . Write the measures of line segments PR and RQ​

Answer 1

Here are the steps:-

1. With P and Q as centers, draw arcs on both sides of PQ with equal radii. The radius should be more than half the length of PQ.

2. Let these arcs cut each other at points R and RS.

3. Join RS which cuts PQ at D. Then RS=PQ. Also ∠POR=90°.

• Hence, the line segment RS is the perpendicular bisector of PQ as it bisects PQ at P and is also perpendicular to PQ.
• On measuring the lengths of PR=4cm, QR=4 cm Since PR=QR, both are 4cm each

∴PR=QR