Exercise 14.3

NCERT Answers for Class 6 Maths
Chapter 14 Practical Geometry Exercise 14.3

Page 279

Ex 14.3 Class 6 Maths Question 1. Draw any line segment \(\overline {\bf PQ }\). Without measuring \(\overline {\bf PQ }\), construct a copy of \(\overline {\bf PQ }\).

Answer

Step 1: Draw \(\overline {\bf PQ }\) of unknown length.

Step 2: Draw a line l and mark a point A on it.
Step 3: Open the compass equal to PQ.
Step 4: Place the needle of the compass at A and mark a point B on l.
Thus, \(\overline {\bf AB }\) is a copy of \(\overline {\bf PQ }\).

Ex 14.3 Class 6 Maths Question 2. Given some line segment \(\overline {\bf AB }\), whose length you do not know, construct PQ such that the length of \(\overline {\bf PQ }\) is twice that of \(\overline {\bf AB }\).

Answer

Step 1: Draw \(\overline {\bf AB }\) of any suitable length.

Step 2: Place the needle of the compass at A and the other pencil end at B.
Step 3: Draw a line l and take a point P on it.

Step 4: With the same opening of the compass, place the needle at P and mark another point X on l.

Step 5: Now keeping compass open with same length, we keep pointed end on X and draw an arc on line l.

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