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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