Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.3 Textbook Questions and Answers.

Gujarat Board Textbook Solutions Class 6 Maths 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{PQ}).
Solution:
Steps of construction:
Step I: Draw (overline{XY}) whose length is not known.
Step II: Draw a line 1 and mark a point R on it.
Step III: Open the compasses equal to (overline{XY}).

Step IV: Keeping the same opening, place the steel end of compasses at R and mark a point S on l.
Thus, (overline{RS}) is a copy of (overline{XY}).

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:
Steps of construction:
Step I: Draw a line segment AB of unknown length.

Step II: Place the steel end of the compasses at A and pencil end at B. this opening of the compasses gives the length of (overline{AB}).
Step III: Draw a line T and mark a point P on it.
Step IV: Without changing the openings of the compasses, place the steel end on P and mark a point R on l.
Step V: Now, place the steel end at R and keeping the same opening, mark another point Q on l.

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