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Question
Draw a line l and point X on it. Through X, draw a line segment `overline"XY"` perpendicular to l.
Now draw a perpendicular `overline"XY"` to at Y. (use ruler and compasses)
Solution
- Draw a line l and mark a point X on it.
- Taking X as centre and with a convenient radius, draw an arc intersecting line l at two points A and B.
- With A and B as centres and a radius more than AX, construct two arcs intersecting each other at Y.
- Join XY. `overline"XY"` is perpendicular to l.
Similarly, a perpendicular to `overline"XY"` at the point Y can be drawn. The line is perpendicular to `overline"XY"` at Y.
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