Circumcenter. Its constructed from the perp. bisectors of the traingle's segments.
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.
Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).
No. and it is not vertices's! vertices will do.
Circumvention means to surround or to go around or bypass. It is not a geometric term and has nothing whatsoever to do with a triangle. The circumcentre is equidistant from the vertices (not vertices's!).
True
The circumcenter of a triangle is equidistant from the vertices of a triangle.
The circumcenter of a triangle is equidistant from the vertices.
The theorem that explains why the circumcenter is equidistant from the vertices of a triangle is the Circumcenter Theorem. This theorem states that the circumcenter, which is the point where the perpendicular bisectors of a triangle intersect, is equidistant from all three vertices of the triangle. This is because the perpendicular bisectors of the sides of a triangle are equidistant from the endpoints of those sides, thus ensuring that the circumcenter maintains equal distances to each vertex.
true
The centroid, which is the point where the medians meet.
equidistant from the vertices
It is called the circumcentre.
Yes, the circumcenter of a triangle is equidistant from each of the triangle's vertices. This point is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle. Therefore, the radius of this circumcircle is the same for each vertex, making the distances from the circumcenter to each vertex equal.