Question

Question 1
Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Answer 1

To construct: A line, parallel to the 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 a centre and take convenient radius, draw an arc cutting AB at E and CD at F.
(d) With C as a centre and same radius as in step 3, draw an arc GH cutting CD at I.
(e) With the same arc radius of EF, draw an arc with the centre as I cutting GH at J.
(f) Join JC to draw a line l.
This is the required line AB l.