Question

Given line PQ of length 4.2 cm, construct line AB such that the length of line AB is twice that of line PQ. Verify by measurement.​

Answer 1

Given:

Line PQ of length 4.2cm.

To Find:

Construct the AB such that the length of line AB is twice that of line PQ.

Verify by measurement.

Solution:

STEPS:-

Draw a line segment of 4.2cm and name it as PQ.

Draw a ray AX.

Take A as centre and cut a ray AX at Y using compass.

Keep the compass width as same and now take Y as centre and cut ray AX at B.

Therefore, AB = AX + XY

⟹ AB = PQ + PQ

⟹ AB = 2 PQ

⟹ AB = 2 (4.1)

⟹ AB = 8.2cm

Verifying:

To verify measurement, Measure AB with scale and it will be AB = 8.2cm.

Hence Verified.