Question

Draw any line segment AB . Mark any point M on it. Through M, draw a perpendicular to AB .
(use ruler and compasses)

Answer 1

$\textbf{\underline{Steps Of Construction:}}$

(i) With M as centre and a convenient radius, draw an arc intersecting the line AB at two points C and B.

(ii) With C and D as centres and a radius greater than MC, draw two arcs, which cut each other at P.

(iii) Join PM. Then PM is perpendicular to AB through the point M.

Answer 2

1. using set - square.
2. using compasses.