Compass and Straight Edge Constructions

Construction

Copying a Segment

Using a straightedge and a compass, it is possible to construct a copy of a segment.

To copy AB, these three steps can be followed.

1
Draw a Segment Longer Than AB
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Using a straightedge, draw a segment longer than the original.

Segments AB and A'C

2
Measure AB with a Compass
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To make a segment with the same length as AB, measure the original segment with a compass. To do so, place the needle point on one of its endpoints and place the pencil on the other end.

3
Mark Point B' on the New Segment
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The compass is now set to the correct length. After moving the compass to the new segment, mark where the end should be with the pencil.

Compass with its tip on A'

This mark shows where to place the endpoint of the new segment.

It has been shown that A'B' has the same length as AB.

Exercises
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