Question

17. Draw overline PQ such that PQ=5 cm. Construct major segment on overline PQ containing the angle having the measure of 30°. Write the steps of construction.​

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.

Step-by-step explanation:

I hope it will help you.

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