Exercise 14.4
Page No 284:
Question 1:
Draw any line segment
. Mark any point M on it. Through M, draw a perpendicular to. (Use ruler and compasses)Answer:
(1) Draw the given line segment and mark any point M on it.
(2) With M as centre and a convenient radius, construct an arc intersecting the line segment
at two points C and D.
(3) With C and D as centres and a radius greater than CM, construct two arcs. Let these be intersecting each other at E.
(4) Join EM.
is perpendicular to .
Question 2:
Draw any line segment
. Take any point R not on it. Through R, draw a perpendicular to. (Use ruler and set-square)Answer:
(1) Take the given line segment and mark any point R outside.
(2) Place a set square on
such that one arm of its right angle aligns along.
(3) Place the ruler along the edge opposite to the right angle of the set square.
(4) Hold the ruler fixed. Slide the set square along the ruler till the point R touches the other arm of the set square.
(5) Draw a line along this edge of the set square which will be passing through R. It is the required line, which is perpendicular to
.
Question 3:
Draw a line l and point X on it. Through X, draw a line segment
perpendicular to l.Now draw a perpendicular to
at Y. (use ruler and compasses)Answer:
(1) Draw a line l and mark a point X on it.
(2) Taking X as centre and with a convenient radius, draw an arc intersecting line l at two points A and B.
(3) With A and B as centres and a radius more than AX, construct two arcs intersecting each other at Y.
(4) Join XY.
is perpendicular to l.
Similarly, a perpendicular to
at the point Y can be drawn. The line 
is perpendicular to at Y.
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