# 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

**Solution:**

We use the basic rules of construction to draw the line as per the question.

Draw a line l and then 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.

Follow the steps given below.

**Steps of construction:**

- Draw a line l, take a point P on it. Draw a perpendicular passing through point P.
- Now adjust the compass up-to-the length of 4 cm. Taking P as the centre, draw an arc to intersect this perpendicular at point X.
- Choose any point Y on line l, join X to Y.
- Taking Y as a centre and with a convenient radius, draw an arc intersecting l at A and XY at B.
- Taking X as a centre and with the same radius as above, draw an arc CD cutting XY at E
- Adjust the compass up-to to the length of AB.
- Hence, line m is parallel to line l at a distance of 4 cm.
- Without changing the opening of the compass and taking E as the centre, draw an arc to intersect the previously drawn arc CD at F.
- Join the points X and F to draw a line m.

**ā Check: **NCERT Solutions for Class 7 Maths Chapter 10

**Video Solution:**

## 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

Class 7 Maths NCERT Solutions Chapter 10 Exercise 10.1 Question 2

**Summary:**

We have drawn a line l and a perpendicular to l at any point on l. On this perpendicular, we have chosen a point X, 4 cm away from l. Through X, a line m parallel to l is constructed.

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