How TO Construct Perpendicular Line

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Perpendicular lines lie in the same plane i.e. they are co-planar and intersect at right angles. Thus it implies that if you have two lines which are perpendicular to each other, then these lines will be at right angles and vice versa. With the help of ruler and compass we can easily construct a line perpendicular to another line and passing through a point given on that line. Steps to Construct Perpendicular lines Constructing a perpendicular to a line through a point on it Given: A line segment AB with a point P on it. To construct A line perpendicular to line AB passing through point P. Step 1: With P as center and any suitable radius, draw an arc cutting line segment AB at two distinct points. Step 2: Now with X as center and a suitable radius draw an arc on either side of the given line segment AB. Also, with Y as center and same radius as previous, draw an arc on either side of the given line segment cutting the arc drawn through point X at M Step 3: Join the point M and P, and the line segment MP is the required perpendicular to AB through point P