These NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Exercise 14.3

Question 1.

Draw any line segment \(\overline{\mathrm{PQ}} .\) Without measuring \(\overline{\mathrm{PQ}} \), construct a copy of \(\overline{\mathrm{PQ}} .\) Answer:

Steps of construction:

- Given \(\overline{\mathrm{PQ}}\) whose length is not known.
- Fix the compasses pointer on P and the pencil end on Q. The opening of the instrument now gives the length of \(\overline{\mathrm{PQ}}\).
- Draw any line ‘l’. Choose a point A on ‘l’’. Without changing the compasses setting, place the pointer on A.
- Draw an arc that cuts ‘l’ at a point, say B.

Hence, \(\overline{\mathrm{AB}}\) is the copy of \(\overline{\mathrm{PQ}}\) .

Question 2.

Given some line segment \(\overline{\mathrm{AB}}\) , whose length you do not know, construct \(\overline{\mathrm{PQ}}\) such that the length of \(\overline{\mathrm{PQ}}\) is twice that of \(\overline{\mathrm{AB}}\).

Answer:

Steps of construction:

- Given \(\overline{\mathrm{AB}}\) whose length is not known.
- Fix the compasses pointer on A and the pencil end on B. The opening of the instrument now gives the length of \(\overline{\mathrm{AB}}\).
- Draw any line ‘l’. Choose a point P on ‘l’. Without changing the compasses setting, place the pointer on Q.
- Draw an arc that cuts ‘l’ at a point R.
- Now place the pointer on R and without changing the compasses setting, draw another arc that cuts ‘l’ at a point Q.

Hence, \(\overline{\mathrm{PQ}}\) is the required line segment whose length is twice that of AB.