Final answers:
1. A
2. C
3. A
These choices correspond to the accurate sequence of steps for constructing segment XY: initiating with the labeling of an endpoint (Option A), determining length through compass and arc (Option C), and finally, intersecting the arc with the ray and labeling the intersection appropriately (Option A).
Explanation:
The construction of segment XY involves a systematic series of steps to ensure precision and accuracy. In the initial step, the task is to establish the starting point for the segment by drawing a ray and labeling the endpoint as X or Y. This initial choice sets the foundation for the subsequent construction process. Choosing Option A, "Draw a ray and label the endpoint X or Y," aligns with this fundamental first step, providing a clear and concise starting point.
Moving on to the second step, the focus is on determining the length of the segment. Option C, "Place the compass at point X (or Y) and draw an arc through Y (or X)," is the appropriate choice. This step involves utilizing the compass to draw an arc through the endpoint, ensuring that the length matches the desired segment XY.
The final step solidifies the construction by intersecting the previously drawn arc with the ray, and the intersection point is labeled as A or B based on the other endpoint. Opting for Option A, "With the same compass setting, put the compass point on the endpoint of the construction in the first step and draw an arc that intersects the ray. Label the intersection A or B depending on the name of the other endpoint," ensures the completion of the segment XY construction with precision and adherence to geometric principles.