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.