7. You want to construct a segment XY-segment congruent to segment AB-segment. The first step is

Put the point of your compass on point A.
Measure the length of AB-segment.
Construct a ray with endpoint X.
none of these.

The correct first step to construct a segment XY-segment congruent to segment AB-segment is to measure the length of AB-segment.

To do this, you would follow these steps:
1. Place the point of your compass on point A.
2. Open the compass to the length of AB-segment.
3. Without changing the width of the compass, move the pencil end to create a circular arc.
4. Label the point where the arc intersects the line as X.
5. Draw a straight line from X through point A to create the segment XY.

Therefore, the correct answer is "Measure the length of AB-segment."

the answers are:

Put the point of your compass on point A.
Construct a ray with endpoint X.