Monday, May 25, 2020

NCERT Solutions for Class 6 Math Chapter 14 Practical Geometry Exercise 14.3

Page No 279:

Question 1:

Draw any line segment. Without measuring, construct a copy of.

Answer:

The following steps will be followed to draw the given line segment and to construct a copy of­.
(1) Let  be the given line segment.

(2) Adjust the compasses up to the length of .

(3) Draw any line l and mark a point A on it.

(4) Put the pointer on point A, and without changing the setting of compasses, draw an arc to cut the line segment at point B.

 is the required line segment.

Question 2:

Given some line segment, whose length you do not know, construct  such that the length of  is twice that of .

Answer:

The following steps will be followed to construct a line segment ­ such that the length of  is twice that of .
(1) Let  be the given line segment.

(2) Adjust the compasses up to the length of .

(3) Draw any line l and mark a point P on it.

(4) Put the pointer on P and without changing the setting of compasses, draw an arc to cut the line segment at point X.

(5) Now, put the pointer on point X and again draw an arc with the same radius as before, to cut the line l at point Q.

 is the required line segment.

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