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# Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only

**Solution:**

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

Draw a line AB and take a point C outside it. Draw line AB by using a ruler and compass, follow the steps given below.

**Steps of construction: **

- Draw a line, AB, take a point C outside this line. Take any point P on AB. Join C to P.
- Taking P as a centre and a convenient radius, draw an arc intersecting line AB at D and PC at E.
- Taking C as the centre and the same radius in the previous step, draw an arc FG intersecting PC at H.
- Adjust the compass up to the length of DE. Without changing the opening of the compass and taking H as the centre, draw an arc to intersect arc HG at point I.
- Join the point C and I to draw the line l as shown in the figure.
- Thus, line l is parallel to line AB.

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

**Video Solution:**

## Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only

Class 7 Maths NCERT Solutions Chapter 10 Exercise 10.1 Question 1

**Summary:**

We have drawn a line AB and through a point C outside it, a line parallel to AB using only ruler and compasses has been drawn.

This is the required line L parallel to AB

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