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(a) Draw a line l. Draw a perpendicular on l at any point. On this perpendicular, choose a point X, 4 cm away from l. Through X, draw a line m parallel to l. (b) Line l and m are parallel to each other. A transversal intersects them at points A and B. i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure). ii) Now, with the same radius and A as the centre an arc FG is drawn (as shown in the figure). What is the relation between the length of arc DM and arc FG? [4 MARKS]

Answer» (a) Draw a line l. Draw a perpendicular on l at any point. On this perpendicular, choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

(b) Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as the centre an arc FG is drawn (as shown in the figure).

What is the relation between the length of arc DM and arc FG?
[4 MARKS]



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