Q:

The ___ of a triangle is the center of the only circle that can be circumscribed about it. A) circumcenter B) incenter C) altitude

Accepted Solution

A:
Answer: The circumcenter of a triangle is the center of the only circle that can be circumscribed about it.Step-by-step explanation:Circumcenter is the center of the circumscribed circle.It is equidistant to each of the vertices of the triangle.It is the point of concurrency of the perpendicular bisectors.On the other hand, Incenter is the point of concurrency of the angle bisectors and Altitude is a segment from a vertex perpendicular to the opposite sides of a triangle.Hence, option 'A' is correct.