Ex 14.4, 3 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 (𝑋𝑌) ̅ at Y. (use ruler and compasses)
Let’s follow these steps
1. Given a line l
with point X marked on it
Let’s follow these steps
1. Given a line l
with point X marked on it
3. Now with A as center, and radius more than AX,
draw an arc.
With B as center, and same radius as before, draw an arc
4. Mark the point of intersection of the two arcs as point Y
Join X & Y.
∴ XY is perpendicular to line l
Now,
We need to draw line perpendicular to XY at Y
So, we need to draw perpendicular on a point on it
Let’s follow these steps
1. With Y as center, and any radius,
draw an arc intersecting XY at points P and Q
Now with P as center, and radius more than PY,
draw an arc.
With Q as center, and same radius as before, draw an arc
3. Mark the point of intersection of the two arcs as point Z
Join Z & Y.
∴ ZY is the line perpendicular to XY at Y

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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