NCERT Answers for Class 6 Maths
Chapter 14 Practical Geometry Exercise 14.3
Page 279
Ex 14.3 Class 6 Maths Question 1. Draw any line segment PQ. Without measuring PQ, construct a copy of PQ.
Answer
Step 1: Draw PQ of unknown length.
Step 2: Draw a line l and mark a point A on it.
Step 3: Open the compass equal to PQ.
Step 4: Place the needle of the compass at A and mark a point B on l.
Thus, AB is a copy of PQ.
Ex 14.3 Class 6 Maths 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.
Answer
Step 1: Draw AB of any suitable length.
Step 2: Place the needle of the compass at A and the other pencil end at B.
Step 3: Draw a line l and take a point P on it.
Step 4: With the same opening of the compass, place the needle at P and mark another point X on l.
Step 5: Now keeping compass open with same length, we keep pointed end on X and draw an arc on line l.
Thus PQ is the required line segment whose length is twice the length of AB i.e. PQ = 2AB
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