Draw a line l. Then draw a perpendicular on l at any point. On this perpendicular, choose a point X, 5.5 cm away from l. Through X, draw a line m parallel to l. [3 MARKS]

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Solution

Construction: 3 Marks

Draw a line l.

Choose any point on l and draw a perpendicular at that point.

On the perpendicular cut a point X which is 5.5cm away from l.

Then through X construct a line parallel to l.

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Question 2
Draw a line l. Draw a perpendicular to l at any point on l. On this perpendicular choose a point X, 4 cm away from l. Through X, draw a line m parallel to l.

Q. (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]

Q. Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose? [4 MARKS]

Question 3
Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

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Draw a line l. Then draw a perpendicular on l at any point. On this perpendicular, choose a point X, 5.5 cm away from l. Through X, draw a line m parallel to l. [3 MARKS]

Construction: 3 Marks Draw a line l. Choose any point on l and draw a perpendicular at that point. On the perpendicular cut a point X which is 5.5cm away from l. Then through X construct a line parallel to l.

Construction: 3 Marks

Draw a line l.

Choose any point on l and draw a perpendicular at that point.

On the perpendicular cut a point X which is 5.5cm away from l.

Then through X construct a line parallel to l.