Question

Raghu walked along a path AB in 5 minutes. After some time he walked along the path PQ which happens to be twice as long as AB.
Construct the line PQ. [3 MARKS]

Answer 1

Constructing AB: 1 Mark
Constructing PQ: 1 Mark
Steps: 1 Mark

Steps for constructing PQ based on the length of AB:
(i) Let AB be the line segment.


(ii) Adjust the compass up to the length of AB.


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


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

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


PQ is the required line segment.