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Draw any line segment
. Mark any point M on it. Through M, draw a perpendicular to
. (Use ruler and compasses)
(1) Draw the given line segment
and mark any point M on it.
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(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
.

Draw any line segment
. Take any point R not on it. Through R, draw a perpendicular to
. (Use ruler and set-square)
(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
.

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)
(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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