Question

Draw a line segment PQ=10cm. Construct the perpendicular bisector of the line
segmentPQ. Let the perpendicular bisector drawn meet PQ at point R. Measure
the lengths of PR and QR. Is PR = QR?​

Answer 1

Answer:

Steps of Construction :

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.