Answer:
Top box: Endpoint
Bottom box: Ray
Step-by-step explanation:
Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.
The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.
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