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

Q1.    Draw any line segment \overline{AB}. Mark any point M on it. Through M, draw a perpendicular to \overline{AB}. (use ruler and compasses)

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The steps of constructions are the following:

(i) With M as the 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 point M.

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