Question

Draw a line l. Draw a line parallel to line l at a distance of 3.5 cm.

Answer 1

Steps of construction:

(1) Make a line ‘l’ and take point O on it.

(2) With O as centre and a certain radius, draw an arc intersecting the line ‘l’ at two points P and Q.

(3) With P and Q as centres and a radius greater than OP, draw two arcs, which cut each other at R.

(4) Join OR and produce it to a certain point. Then OR is perpendicular to ‘l’.

(5) With O as centre and radius of 3.5 cm, draw an arc intersecting the ray OR at point M.

(6) With M as centre and a certain radius, draw an arc intersecting ray OM at two points T and S.

(7) With S and T as centres and radius greater than MS, draw two arcs, which cut each other at N.

(8) Join MN, then MN is parallel to line 'l'.

Thus, line 'm' is parallel to line 'l'.