# NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1

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## NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1

NCERT TEXTBOOK EXERCISES

Question 1. Draw a line, say, AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Solution:

Steps of Construction

1. Draw a line AB.
2. Take a point C outside it.
3. Take any point D on AB.
4. Join C to D. 5. with D as centre and a convenient radius, draw an arc cutting AB at F and CD at E.
6. Now with C as centre and the same radius as in step 5, draw an arc GH cutting CD at I.
7. Place the pointed tip of the compasses at F and adjust the opening so that the pencil tip is at E.
8. With the same opening as in step 7 and with I as centre, draw an arc cutting the arc GH at J.
9. Now join CJ to draw a line ‘KL’. Then KL is the required line.

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.

Solution:

Steps of Construction

1. Draw a line l.
2. Take any point A on line l. 3. Construct an angle of 90° at point A of line l and draw a line AL perpendicular to line l.
4. Mark a point X on AL such that AX = 4 cm.
5. At X construct an angle of 90° and draw a line XC perpendicular to line AL.
6. Then line XC (line m) is the required line through X such that m || l.

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?

Solution:

Steps of Construction

1. Draw a line l and take a point P not on it.
2. Take any point Q on l.
3. Join Q to P. 4. Draw a line m parallel to line l, as shown in the figure. Then line m || line l.
5. Join P to any point Q on l.
6. Choose any point R on m.
7. Join R to Q.
8. Through R, draw a line n parallel to the line PQ.
9. Let the line n meet the line l at S.
10. Then, the shape enclosed by the two sets of parallel lines is a parallelogram.

## NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1 PDF

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