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

NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3, are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3.

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

Question 1.
Draw any line segment \(\overline { PQ }\). Without measuring \(\overline { PQ }\) . construct a copy of \(\overline { PQ }\).
Solution :
Step 1. Given \(\overline { PQ }\) whose length is not known.
Step 2. Fix the compasses pointer on P and the pencil end on Q. The opening of the instrument now
gives the length of \(\overline { PQ }\).
Step 3. Draw any line l. Choose a point A on /. Without changing the compasses setting, place the pointer on A.
Step 4. Swing an arc that cuts l at a point, say, B. Now \(\overline { AB }\) is a copy of \(\overline { PQ }\).

Question 2.
Given some line segment \(\overline { AB }\), whose length you do not know, construct \(\overline { PQ }\) such that the length of \(\overline { PQ }\) is twice that of \(\overline { AB }\).
Solution :
Step 1. Given \(\overline { AB }\) whose length is not known.
Step 2. Fix the compasses pointer on A and the pencil end on B. The opening of the instrument now gives the length of \(\overline { AB }\).
Step 3. Draw any line l. Choose a point P on l. Without changing the compasses setting, place the pointer on P.
Step 4. Strike an arc that cuts l at a point, say, X.
Step 5. Now fix the compasses pointer on X. Strike an arc away from P that cuts l at a point, say, Q. Now, the length of \(\overline { PQ }\) is twice that of \(\overline { AB }\).

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