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 $l$ . Draw a line m parallel to $l$ .

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Solution

Steps for construction
1. Draw a line $l$ and take any point P on line $l$ .
2. At point P, draw a perpendicular line N.
3. Place the pointed tip of the compass at P and adjust the compass up to length of 4 cm, draw an arc to cut this perpendicular at point X.
4. At point X, again draw a perpendicular line m.

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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.

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]

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. Draw line l and take any point P on it. Draw line m perpendicular to line l at point P.

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]

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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. Draw a line m parallel to l.

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 $l$ . Draw a line m parallel to $l$ .