Q3 of 33 Page 284

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

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

Steps of Construction-

1. Draw a line l and take point X on it.


2. With X as centre and a convenient radius, draw an arc intersecting the line l at two points A and B.



3. With A and B as centres and a radius greater than XA, draw two arcs, which cut each other at C.


4. Join XC and produce it to Y. Then XY is perpendicular to l.



5. With Y as centre and a convenient radius, draw an arc intersecting XY at two points C and D.


6. With C and D as centres and radius greater than YD, draw two arcs which cut each other at F.


7. Join YF, then YF is perpendicular to XY at Y.



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