Sketch, draw, and construct a segment congruent to CD

Question

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c. D

Answer 1

Here are the steps to follow to do this.

Draw a segment and label it AB. This will be the given segment.

Step 1: Use a straightedge to draw PS so it is longer than AB.

Step 2: Place the steel tip of the compass at A and the writing tip at B.

Step 3: Keep the same setting on the compass and place the steel tip at P. Draw an arc that intersects PS. Name this point Q.

PQ is now congruent to AB.

Reference: http://mabryonline.org/blogs/albertson/document/Constructions.pdf

Answer 2

Congruent line segments are line segments with the same length.