Question

EXERCISE 14.4
В
1.) Draw any line segment AB.Mark any point Mon
it. Through M. draw a perpendicular to AB.(use
ruler and compasses)
2. Draw any line segment PQ. Take any point R not on it. Through R, draw a
perpendicular to PQ. (use ruler and set-square)​

Answer 1

Answer:

(1)Steps of construction:

(i) With M as centre and a convenient radius, draw an arc intersecting the line AB at two points C and B.

(ii) With C and D as centres and a radius greater than MC, draw two arcs, which cut each other at P.

(iii) Join PM. Then PM is perpendicular to AB through the point M.

(2)(i) Place a set-square on PQ such that one arm of its right angle aligns along PQ.

(ii) Place a ruler along the edge opposite to the right angle of the set-square.

(iii) Hold the ruler fixed. Slide the  

set-square along the ruler till the point R touches the other arm of the set-square.

(iv) Join RM along the edge through R meeting PQ at M. Then RM ┴ PQ

Step-by-step explanation:

(1) image (c om 1)

(2) image ( c om 2)