Draw a line l and mark a point P anywhere outside the line. Const… - Vidyadip

Question

Draw a line l and mark a point P anywhere outside the line. Construct a perpendicular to the given line l through P.
[Hint: Find a line segment on l whose perpendicular bisector passes through P.]

✓

Answer

Draw a line l and take a point P outside l.
With centre P, draw an arc so that it cuts the line l at two points, say A and B.
We shall find the perpendicular bisector of the line segment AB.
With centres at A and B, draw arcs of equal radius above and below AB.
Let the arcs intersect at the points C and D.
Join CD and extend it, if P is not on this line.
The line CD is perpendicular to the given line l and passes through the given point P.

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