Question

Draw a right angle and construct its bisector.

Answer 1

The bisector of an angle is a ray whose endpoint is the vertex of the angle and divides the angle into two equal angles.

Steps of construction:
(a) Draw a line PQ and take a point O on it.
(b) Taking O as a centre and convenient radius, draw an arc that intersects PQ at A and B.
(c) Taking A and B as centres and radius more than half of AB, draw two arcs that intersect each other at C.
(d) Join OC. Thus, $\angle COQ$ is the required right angle.
(e) Taking B and E as centre and radius more than half of BE, draw two arcs that intersect each other at the point D.
(f). Join OD. Thus OD is the required bisector of $\angle COQ$.