Circumcenter. Its constructed from the perp. bisectors of the traingle's segments.
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Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).
The circumcenter of a triangle is equidistant from the vertices.
It is called the circumcentre.
This is true, by definition. Assume that there is a circle that passes through each vertex of a triangle. Then its centre, which we may call the circumcentre of the triangle, must be at an equal distance from each of the vertices because all of the points of the circle are at the same distance from this point.
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.