Question

draw a line segment PQ and bisect it. take one of the equal parts and bisects it to obtain a line segment of of length 1 upon 4 PQ obtain other line segment of length 3 upon 4 PQ also write the step of construction. ​

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

∘

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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.

solution