Question

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

Answer 1

(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 centre and take convenient radius, draw an arc cutting $AB$ at $E$ and $CD$ at $F.$

(d) With $C$ as centre 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 $l.$