is the altitude of a triangle
True
The circumcenter of a triangle is equidistant from the vertices of a triangle.
true
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.
Angle bisectors are.
Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).
sides
True
The circumcenter of a triangle is equidistant from the vertices of a triangle.
true
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.
Yes
Angle bisectors are.
The point equidistant from the three sides of a triangle is the center of the triangle. The center of the triangle is the point of intersection of the medians of the triangle. The medians of a triangle are the line segments that join the vertices of the triangle to the midpoints of the opposite sides.
true
The centroid, which is the point where the medians meet.
true