Draw a line 'l' and a point X on it. Through X, draw a line segment XY perpendicular to I. Now draw a perpendicular to XY at Y.
(use ruler and compasses)
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(i) Draw a line and take a point X on it.
(ii) With X as centre and a convenient radius, draw an arc intersecting the line at two points A and B.
(iii) With A and B as centres and a radius greater than XA, draw two arcs, which cut each other at C.
(iv) Join AC and produce it to Y. Then XY is perpendicular to .
(v) With D as centre and a convenient radius, draw an arc intetsecting XY at two points C and D.
(vi) With C and D as centres and radius greater than YD, draw two arcs which cut each other at F.
(vii) Join YF, then YF is perpendicular to XY at Y.
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