Question

Construct PQ of length 6cm. From this cut off PR of length PR of length 4.5cm. Measure QR

Answer 1

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.

Answer 2

Answer:

Steps

i) Draw QR=4.5㎝

ii) From point Q, draw a perpendicular to QR

iii) From R, taking a radius of 6㎝, cut an arc.

iv) Point of intersection of perpendicular line and the arc is P. Join PQ and PR

Step-by-step explanation: