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which theorem explains why the circumcenter is equidistant from the vertices of a triangle?

A.Vertical Angles Theorem
B.Concurrency of Perpendicular Bisectors Theorem
C.Concurrency of Angle Bisector Theorem
D.Alternate Interior Angles Theorem

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musiclover10045

The concurrency of perpendicular bisector theorem explains how all radii of a circle are the same, so from the circumcenter of the circle the vertices of the triangle would also all be the same.

akposevictor

The theorem that explains why the circumcenter of a triangle will be equidistant from all three vertices of a triangle is: Concurrency of Perpendicular Bisectors Theorem

Recall:

  • Based on the Concurrency of Perpendicular Bisectors Theorem, the point (circumcenter) where all three perpendicular bisectors of a triangle intersect is said to be equidistant from the vertices of the triangle.
  • The image attached below shows the perpendicular bisectors of a triangle with circumcenter, P.

Therefore, the theorem that explains why the circumcenter of a triangle will be equidistant from all three vertices of a triangle is: Concurrency of Perpendicular Bisectors Theorem

Learn more about Concurrency of Perpendicular Bisectors Theorem on:

https://brainly.com/question/8119520

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