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.

According to the question,

We have to draw figure using following steps of construction:

Step 1: At first, draw a line l and take a point P on the line and hence draw a perpendicular to the line l at point P

Step 2: Now taking point P as a center and Radius as 4 cm draw an arc intersecting the perpendicular at point X. Then, take any point Y on the line l and join XY.

Step 3: Now, taking Y as a center and with certain radius mark an arc intersecting line l at A and XY at B.

Step 4: Then, with the same previous radius and taking center as X draw an arc CD intersecting XY at E.

Step 5: Adjust the compasses according to the length of AB. And with same opening, taking E as a centre, draw another arc intersecting the previous arc CD at point F.

Step 6: Now, join XF in order to draw a line ‘m’

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