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Yes. Equidistant signifies that the distance from the mid-way to the opposite ends are equal; thus, midpoints are ALWAYS equidistant from the endpoints. It's like two people walking; one person starting from point A and the other from point C. They're planning to meet half way at point B. If they're meeting halfway, it means that the distance they traveled to meet each other at point B (a.k.a. midpoint) were of equal distances. Hence, equidistant.
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