1.

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»

Given : line PQ of length 4.2 cm,

To Find :  CONSTRUCT line AB such that the length of line AB is twice that of line PQ.

Verify by measurement.​

Solution:

Step1    : Draw a line segment PQ = 4.2 cm

Step 2  : Draw a ray  AX

Step 3  : Using Compass width = PQ   and taking A as CENTER cut ray AX at Y

Step 4 : Keeping Compass width same   and taking Y as center cut ray AX further at B

AB = AX + XY

=> AB = PQ + PQ

=> AB = 2 PQ

=> AB = 2(4.1)

=> AB = 8.2 cm

Measure  AB by scale/ruler

AB = 8.2 cm

Hence Verified

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