Question

Which best describes the circumcenter of a triangle?

A. The point where the three medians of the triangle intersect
B.The point where the three angle bisectors of the triangle intersect
C.The point where the perpendicular bisectors of the three sides of the triangle intersect
D.The point where the three altitudes of the triangle intersect

Answer 1

C. The point where the perpendicular bisectors of the three sides of the triangle intersect.

Explanation:

A number of centers of a triangle are defined. The circumcenter is the center of the circumscribing circle. The incenter is the center of an inscribed circle. The centroid is the center of balance of a triangle of uniform mass density.

Center definitions

The centers defined by descriptions A through D are ...

A. centroid -- coincident point of medians

B. incenter -- coincident point of angle bisectors

C. circumcenter -- coincident point of side perpendicular bisectors

D. orthocenter -- coincident point of altitudes