Q3. Draw a line l and a point X on it. Through X, draw a line segment perpendicular to l.
Now draw a perpendicular to at Y. (use ruler and compasses)
The steps of construction are as follows:
(i) Draw a line and take point X on it.
(ii) With X as the 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 Y as the centre and a convenient radius, draw an arc intersecting 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.