RBSE Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 14 Practical Geometry Ex 14.3 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 14 Practical Geometry Ex 14.3

Question 1. 
Draw any line segment \(\overline{P Q}\). Without measuring \(\overline{P Q}\), construct a copy of \(\overline{P Q}\).
Answer:
Steps of construction :

• Draw \(\overline{P Q}\), whose length is not known.
• Then draw a line segment l and mark a point A on it.  
• Now measure the length of \(\overline{P Q}\) by compass and place a needle C at point A and mark a point B on Z.

Thus, AJB 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.
Sol.:
Steps of construction :

• Draw any line segment AB of unknown length.
• Place the needle of the compass at point A and pointer on B, open the compass equal to length of AB.
• Now draw a line l and point P on it.
• Now without changing the opening of compass place the needle at point P and mark a point R on l.
• Now place the needle of the compass at point R and with the same opening of compass mark another point Q on the line segment.

Thus, PQ is the required length that is twice of AB.