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

Question

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

Answer 1

(1) Draw the given line segment  \(\over{AB}\) and mark an point M on it.

(2) With M as centre and a convenient radius, construct an arc intersecting the line segment  \(\over{AB}\)at two points C and D.

(3) With C and D as centres and a radius greater than CM, construct two arcs. Let these be intersecting each other at E.

(4) Join EM. \(\over{EM}\) is perpendicular to AB