GSEB Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.3

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\(\overline{AB}\)