Question

Draw a line l. Draw a perpendicular to l at 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.

Answer 1

Steps of Construction

1. Draw a line l, take any point A on line l.

2. Construct an angle of 90° at point A of line l and draw a line AL perpendicular to line l.

3. Mark a point X on AL such that AX = 4 cm

4. At X construct an angle of 90° and draw a line XC perpendicular to line AL.

5. The line XC (line m) is the required line through X such that m || l.