HBSE 6th Class Maths Solutions Chapter 14 Practical Geometry Ex 14.3

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.
HBSE 6th Class Maths Solutions Chapter 14 Practical Geometry Ex 14.3 1
(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 \(\overline{\mathrm{PQ}}\).

HBSE 6th Class Maths Solutions Chapter 14 Practical Geometry Ex 14.3

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.
HBSE 6th Class Maths Solutions Chapter 14 Practical Geometry Ex 14.3 2
(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.

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