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:
:
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∘ 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∘ with PM andmake a line q.
Line q is the required line parallel to line l.
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:
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∘ 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∘ with PM andmake a line q.
Line q is the required line parallel to line l.
Was this answer helpful ?
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