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 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¯¯¯¯¯¯¯¯.

Ex 14.3 Class 6 Maths 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¯¯¯¯¯¯¯¯¯¯ .