1.

Given a line segment PQ of any measurement. Construct another segmentRS whose measurement is twice the length of segment PQ.​

Answer»

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

∘

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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.


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