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}