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

To construct: A line, parallel to given line by using ruler and compasses.
Steps of construction:
(a) Draw a line-segment AB and take a point C outside AB.
(b) Take any point D on AB and join C to D.
(c) With D as center and take convenient radius, draw an arc cutting AB at E and CD at F.
(d) With C as center and same radius as in step 3, draw an arc GH cutting CD at I.
(e) With the same arc EF, draw the equal arc cutting GH at J.
(f) Join JC to draw a line l.
This the required line 𝐴𝐵 ∥ 𝑙.

Class 7 Maths Chapter 10 Exercise 10.1

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