Question

What is the first step to construct the segment XY congruent to AB?

A. Plot two points X and Y (one an endpoint) and draw a ray through them.
B. Plot two points A and B (one an endpoint) and draw a ray through them.
C. Draw a ray and label the endpoint X or Y.
D. Draw a ray and label the endpoint A or B.

Answer 1

The first step to construct a segment congruent to another is to draw a ray with an endpoint labeled X or Y, and then use a compass to measure the length of the original segment and replicate it.

Step-by-step explanation:

The first step to construct the segment XY congruent to AB is to draw a ray with an endpoint. The correct answer to the question is C. Draw a ray and label the endpoint X or Y. After drawing a ray with the endpoint labelled as X or Y, use a compass to measure the length of segment AB. Then, without adjusting the compass, place the compass point on X or Y and create an arc that intersects the ray. The intersection of the arc and the ray will be point Y or X, forming a segment XY that is congruent to AB.