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:
NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3 1

  • 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 \(\overline{\mathrm{PQ}}\) .

NCERT Solutions for Class 6 Maths 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 \(\overline{\mathrm{AB}}\).
Answer:
Steps of construction:
NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3 2

  • 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.
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