## NCERT Solutions For Class 6 Maths Practical Geometry Exercise 14.3

**Exercise 14.3**

Ex 14.3 Class 6 Maths Question 1.

Draw any line segment (overline { PQ }) . Without measuring (overline { PQ }), construct a copy of (overline { PQ }).

Solution:

Step I: Draw (overline { PQ }) of unknown length.

Step II : Draw a line l and mark a point A on it.

Step III: Open the compass equal to PQ.

Step IV : Place the needle of the compass at A and mark a point B on l.

Thus, (overline { AB }) is a copy of (overline { PQ }).

Ex 14.3 Class 6 Maths 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 I : Draw (overline { AB }) of any suitable length.

Step II : Place the needle of the compass at A and the other pencil end at B.

Step III : Draw a line l and take a point P on it.

Step IV: With the same opening of the compass, place the needle at P and mark another point Q on l.

Thus (overline { PQ }) is the required line segment whose length is twice the length of (overline { AB }) i.e (overline { PQ }) = (overline { 2AB }) .

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