These NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts.

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

Question 1.

Draw a line say AB, take a point ‘C’ outside it. Through C, draw a line parallel to AB using ruler and compass only.

Answer:

Steps of Construction

(i) Draw a line AB.

(ii) Take a point C outside it.

(iii) Take any point ‘D’ on AB.

(iv) Join C to D.

(v) With D as centre and a convenient radius draw an arc cutting AB at F and CD at E.

(vi) Now with C as centre and the same radius as in step 5, draw an arc GH cutting CD at I.

(vii) Place the pointed tip of the compass at F and adjust the opening so that the pencil tip is at E.

(viii) With the same opening as in step 7 and with I as centre, draw an arc cutting the arc GH at J.

(ix) Now Join CJ to draw a line ‘KL’ Then KL is the required line.

Question 2.

Draw a line 1. Draw a perpendicular to T at any point on T. On this perpendicular Choose a point X, 4 cm away from l. Through X, draw a line ‘m’ parallel to T

Answer:

Steps of Construction

(i) Draw a line ‘l’.

(ii) Take any point A on line l.

(iii) Construct an angle of 90° at point ‘A’ on line ‘l’ and draw a line ‘AL’ perpendicular to line ‘l’.

(iv) Make a point ‘X’ on AL such that AX = 4 cm.

(v) At X, construct an angle of 90 and draw a line XC perpendicular to line AL.

(vi) 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 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?

Answer:

Steps of Construction

(i) Draw a line ‘l’ and take a point ‘P’ not on it.

(ii) Take any point ‘Q’ on ‘l’.

(iii) Join ‘Q’ to ‘P’.

(iv) Draw a line ‘m’ parallel to the line T as shown in figure.

Then line ‘m’ || line ‘l’.

(v) Join ‘P’ to any point ‘Q’ on ‘l’.

(vi) Choose any point ‘R’ on ‘m’.

(vii) Join R to Q

(viii) Through R, draw a line ‘n’ parallel to the line PQ.

(ix) Let the line ‘n’ meet the line ‘l’ at ‘S’.

(x) Then the shape enclosed by the two sets of parallel lines is a ‘Parallelogram’.