Question

Draw a line segment PQ = 5cm .At Practice draw PR perpendicular PQ such that PR=3.5cm .through R, draw RS|| PQ and cut RS=5cm join SQ Measure SQ. Name the figure PRSQ?
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Answer 1

Step-by-step explanation:

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.