Question

Draw a right angle and construct its bisector. [ 4 marks ]

Answer 1

The bisector of an angle is a ray whose end point is the vertex of the angle and which divides the angle into two equal angles.[ 1 mark ]

Steps of construction:
(a) Draw a line PQ and take a point O on it.
(b) Taking O as centre and convenient radius, draw an arc which intersects PQ at A and B. [ 1 mark ]
(c) Taking A and B as centres and radius more than half of AB, draw two arcs which 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 which intersect each other at the point D.
[ 1 mark ]
(f) Join OD. Thus, $\overline{OD}$ is the required bisector of $\angle COQ$.

[ 1 mark ]