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

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Solution

(1) Draw the given line segment and mark any point M on it.

(2) With M as centre and a convenient radius, construct an arc intersecting the line segmentat 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. is perpendicular to .

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