Geometry

Question Analysis

This question is based on the Triangle Perpendicular Bisector Concurrence Theorem. The main focus is to use the property of the circumcenter to determine which segment is equal to .

 

Key Concept Explanation

Circumcenter: The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the triangle's sides. It is the center of the circum - circle that passes through all three vertices of the triangle. A key property of the circumcenter is that it is equidistant from all the vertices of the triangle.

 

Step-by-Step Solution

Recall the property of the circumcenter: Since  is the circumcenter of ,  is equidistant from vertices , , and .

 

Option Analysis

A. RY: Incorrect.  is a side of the triangle and not related to the distance from the circumcenter to a vertex.

B. SR: Incorrect.  is not a vertex, so

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