Question

true or false? the circumcenter of a triangle is the center of the only circle that can be circumscribed about it.
a. true
b. false

Explanation:

The circumcenter of a triangle is defined as the intersection point of the perpendicular bisectors of the triangle's sides. This point is equidistant from all three vertices of the triangle, making it the center of the unique circle that passes through all three vertices (the circumscribed circle). There is only one such circle that can be drawn around a given triangle, as there is only one set of perpendicular bisectors intersecting at a single circumcenter.

Answer:

A. True