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Steps of Construction of a Line Parallel to a Given Line

Draw any line...

Question

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

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Solution

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.

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¯ ¯¯¯¯¯¯ ¯ P Q

¯ ¯¯¯¯¯¯ ¯ P Q

Question 1

Draw any line segment $¯ ¯¯¯¯¯¯ ¯ P Q$ . Without measuring $¯ ¯¯¯¯¯¯ ¯ P Q$ , construct a copy of $¯ ¯¯¯¯¯¯ ¯ P Q$

A quick and natural approach to construct the copy of a given line segment is

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A

l

A

l

l

B

A B

C D

C D

C

D

C D

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