Final answer:
The point that is the same distance from the endpoint (6,24) is the endpoint itself, which is option B) (6, 24), as it is zero distance away from itself.
Step-by-step explanation:
To determine the point that is the same distance from the endpoint (6,24) of the segment with endpoints (-9, -18) and (6, 24), we need to identify which point is equally distanced from the given endpoint.
The endpoint itself, (6, 24), is obviously zero distance away from itself. Any other point would have some positive distance from (6, 24).
Therefore, the correct answer is B) (6, 24).