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

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