Define circumcenter of a triangle.

Understand the Problem

The question is asking for a definition of the circumcenter of a triangle, which is the point where the perpendicular bisectors of the sides of the triangle intersect and is equidistant from all three vertices of the triangle.

Answer

The intersection point of a triangle's perpendicular bisectors.

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect.

Answer for screen readers

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect.

More Information

The circumcenter is equidistant from all three vertices of the triangle and serves as the center of the triangle's circumcircle.

Tips

Students often mistakenly confuse the circumcenter with other centers of the triangle such as the centroid or orthocenter.

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