Draw a line l. Draw a perpendicular to l mat any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Given: (i) X is 4cm away from point I

To construct: a line m parallel to I

Steps for construction

Step 1: Draw a line L, take a point P on it.

Step 2: We will draw a semicircle of any radius, taking P as a center and mark the points A and B .

Step 3 : We have to draw an arc , taking A as a center and radius more than AP. Now with the same radius we will draw an arc taking B as center.

Step 4 : We have to mark the intersection points of the arc as Q, and join P and Q.

Step 5 : We have to mark a point X on PQ at 4cm distance from P. For this we will make an arc , taking P as center and radius 4cm

Step 7 : We will draw an arc , taking P as a center and intersecting l at C and PX at D.

Step 8 : We will draw an arc , taking X as a center and same radius , intersecting PX at E.

Step 9 : We have to measure the length of CD using the compass and draw an arc taking E as center and cutting at F.

Step 10 : We have to draw line m passing through X and F.

Thus, m is the required line