NCERT Solutions For Class 6 Maths Practical Geometry Exercise 14.3

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 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 $\overline { PQ }$ = $\overline { 2AB }$ .