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?

Steps of Construction:

1.         Draw a line, AB = 4 cm

2.         Take A and B as centers and draw arcs which intersect AB at E and H respectively.

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

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

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

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

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

These lines are parallel.

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