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

Q1. Draw any line segment \overline{PQ}. Without measuring \overline{PQ}, construct a copy of \overline{PQ}.

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The steps of construction are the following:

(i) Given \bar{PQ} whose length is not known.

(ii) Fix the compass pointer on P and the pencil end on Q. The opening of the instrument now gives the length of \bar{PQ}.

(iii) Draw any line 'l'. Choose a point A 'l'. Without changing the compass's setting, place the pointer on A.

Draw an arc that cuts at 'l' a point, say B. Now \bar{AB} is a copy of \bar{PQ} .

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Divya Prakash Singh

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