NCERT Solutions Class 6th Maths Chapter – 14 Practical Geometry Exercise – 14.3

Question 1. Draw any line segment PQ¯ . Without measuring PQ¯, construct a copy of PQ¯.

Solution:
Step I: Draw 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, AB¯ is a copy of PQ¯.

Question 2. Given some line segment AB¯ whose length you do not know, construct PQ¯ such that the length of PQ¯ is twice that of AB¯.

Solution: 

Step I : Draw 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 PQ¯ is the required line segment whose length is twice the length of AB¯ i.e PQ¯ = 2AB¯ .