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Question

Draw a line l and point X on it. Through X, draw a line segment perpendicular to l.

Now draw a perpendicular to at Y. (use ruler and compasses)

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Solution

(1) Draw a line l and mark a point X on it.

(2) Taking X as centre and with a convenient radius, draw an arc intersecting line l at two points A and B.

(3) With A and B as centres and a radius more than AX, construct two arcs intersecting each other at Y.

(4) Join XY. is perpendicular to l.

Similarly, a perpendicular to at the point Y can be drawn. The line is perpendicular to at Y.



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