Geometry

Question Analysis

The main focus is on recalling the properties related to the concurrence of perpendicular bisectors in a triangle. We need to identify the name of the point where the three perpendicular bisectors of a triangle intersect.

Key Concept Explanation

Circumcenter: The point of intersection of the three perpendicular bisectors of a triangle. The circumcenter is equidistant from all the vertices of the triangle. A circle can be drawn with the circumcenter as the center that passes through all three vertices of the triangle (circum - circle).

Orthocenter: The point of intersection of the three altitudes of a triangle.

Incenter: The point of intersection of the three angle bisectors of a triangle. The incenter is equidistant from all the sides of the triangle, and a circle (in - circle) can be drawn centered at the incenter that is tangent to all three sides.

Centroid: The point of intersection of the three medians of a triangle. A median is a line segment joining a vertex to the mid - point of the opposite side.

Step-by-Step Solution

By the definition of the circumcenter, which is the point where the three perpendicular bisectors of a triangle meet, the answer is "Circumcenter".

Option Analysis

A.Circumcenter: Correct. As explained above, it is the intersection of the perpendicula...