Question

Draw a linear pair of angles. Bisect each of the two angles. verify that the two bisecting rays are perpendicular to each other.

Answer 1

Steps of construction:

1. Draw two angle DCA and DCB forming Linear pair

2. With center C and any radius, draw an arc which intersects AC at P, CD at Q and CB at R.

3. With center P and Q and any radius draw two arcs which interest each other at *

4. Join SC

5. With center Q and R any radius draw two arcs, which intersect each other at T.

6. Join TC

∠SCT = 90o [By using protractor]