Question

Draw a right angle and construct its bisector. Write the steps of construction also.

Answer 1

Step I: Draw a line segment AB.

Step II : With centre B and proper radius draw an arc to meet AB at C.

Step III : With centre C and same radius, mark two marks D and E on the former arc.

Step IV : With centres D and E and the same radius, draw two arcs which meet each other at G.

Step V : Join B and G such that $\angle ABG={90}^{\circ }$

Step VI : Draw BH as the bisector of $\angle$ ABG such that $\angle ABH={45}^{\circ }.$

Thus $\angle$ ABG is the right angle and BH is the bisector of $\angle$ ABG.