Not sure about vertices's.
The circumcentre is equidistant from a triangle's vertices (no apostrophe).
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It is called the circumcentre.
False
sides
The circumcenter of a triangle is equidistant from the vertices.
The point of concurrency (intersection) of 3 perpendicular bisectors (the lines that cut the sides of the triangle in half at a 90 degree angle...think of a plus sign--+) of a triangle. It's equidistant to the 3 vertices (points or ends) of the triangle.