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: 

1. Draw a line, AB, take a point C outside this line. Take any point P on AB. Join C to P.
2. Taking P as a centre and a convenient radius, draw an arc intersecting line AB at D and PC at E.
3. Taking C as the centre and the same radius in the previous step, draw an arc FG intersecting PC at H.
4. 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.
5. Join the point C and I to draw the line l as shown in the figure.
6. 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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