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  • Draw a line segment AB of 4 cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?

Draw a line segment AB of 4 cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?

Answers (1)

Steps of Construction:

1.         Draw a line, AB = 4 cm

2.         Take A and B as centres and draw arcs that intersect AB at E and H respectively.

3.         Take E as a center and draw an arc of the same radius as the arc of A, and B, which intersects the previous arc at F. Then, take the same radius and centre F and make an arc that intersects at G.

4.         Perform step 3 for H, as a centre and make I, J which intersects the previous arc.

5.         Now take F and G as centres and draw an arc that intersects each other at C.

6.         Take I, and J as centres and draw an arc that intersects each other at D.

7.         Make lines AC and AD which are perpendicular to AB.

These lines are parallel.

 

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