Haryana State Board HBSE 6th Class Maths Solutions Chapter 14 Practical Geometry Ex 14.3 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions 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 \(\overline{\mathrm{PQ}}\).

Solution:

(i) Given \(\overline{\mathrm{PQ}}\) whose length is not known.

(ii) Fix the compasses pointer on P and the pencil end on Q. The opening of the instru-ment now gives the length of \(\overline{\mathrm{PQ}}\).

(iii) Draw any line ‘l’. Choose a point A on ‘l’. Without changing the compasses setting, place the pointer on A.

(iv) Strike an arc that cuts ‘l’ at a point, say, B. Now \(\overline{\mathrm{AB}}\) is a 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 \(\overline{\mathrm{AB}}\).

Solution:

(i) Given \(\overline{\mathrm{AB}}\) whose length is not known.

(ii) Fix the compasses pointer on A and the pencils end on B. The opening instru¬ment now gives the length of \(\overline{\mathrm{AB}}\).

(iii) Draw any line ‘l’. Choose a point P on ‘l’. Without changing the compasses setting, place the pointer on P.

(iv) Strike an arc that cuts ‘l’ at a point R.

(v) Now, place the pointer on R and without changing the compasses setting, strike another arc that cuts ‘l’ at a point Q,

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