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Learn Exercise 14.3 with Free Lessons & Tips

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

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.

Comments

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

 

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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