Draw any line segment ¯AB.¯¯¯¯¯¯¯¯AB.¯¯¯¯¯¯¯¯AB. Mark any point MMM on it. Through M,M,M, draw a perpendicular to ¯AB.¯¯¯¯¯¯¯¯AB.¯¯¯¯¯¯¯¯AB.
Answer:
- Draw a line segment ABABAB and mark a point MMM on it.
- With MMM as centre and a convenient radius, construct an arc intersecting the line segment ABABAB at PPP and Q.Q.Q.
- With PPP and QQQ as centres and radius greater than PM,PM,PM, construct 222 arcs and mark the point of their intersection as K.K.K. Join MK.MK.MK.
- ¯MK¯¯¯¯¯¯¯¯¯¯¯MK¯¯¯¯¯¯¯¯¯¯¯MK is the required perpendicular through MMM on ¯AB.¯¯¯¯¯¯¯¯AB.¯¯¯¯¯¯¯¯AB.