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Q: Which theorem explains why the circumcenter is equidistant from the vertices of a triangle?
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What is the circumcenter theorem?

The circumcenter of a triangle is equidistant from the vertices of a triangle.


What is the Circumcenter Conjecture?

The circumcenter of a triangle is equidistant from the vertices.


The circumcenter of a triangle is the point equidistant from the vertices of the triangle?

True


What is a characteristic of the circumcenter of a triangle?

equidistant from the vertices


What is equidistant from the vertices of a triangle?

Circumcenter. Its constructed from the perp. bisectors of the traingle's segments.


What is the center of a circumscribed cirlce of a triangle called?

It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle


The point equidistant from the three vertices is called?

circumcenter


Which point in a triangle is equidistant from the vertices's of the triangle?

Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).


What are properties of the circumcenter of a triangle?

When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.


Is the centroid equidistant from the vertices's of a triangle?

No. and it is not vertices's! vertices will do.


What is the circumcenter of a triangle?

Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.


The circumcenter of a triangle is equidistant from the three vertices of the triangle?

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.