Question

Given a line l and a point M on it, draw a perpendicular MP to l where MP = 5.2 cm and a line q parallel to l through P. [2 MARKS]

Answer 1

Steps: 1 Mark
Construction: 1 Mark

Steps of construction:
(i) Draw a line l.
(ii) Take a point M on it.
(iii) Draw an angle of ${90}^{\circ }$ at M with l which is perpendicular to l at M.
(iv) With M as centre and radius 5.2 cm, draw an arc which intersects the above perpendicular at point P. MP is the required perpendicular.
(v) At P, draw an angle of ${90}^{\circ }$ with PM and make a line q.
Line q is the required line parallel to line l.