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

Respuesta :

The answer is B. Remember the definition of the circumcenter of a triangle: the intersection of perpendicular bisectors. If we draw a perpendicular line to each of the three sides, these three lines intersect at a common point, and the distance of this point to all three vertices are equal, which can be proved using similar triangles. If we draw a circle with the circumcenter of the triangle as the center, and with the distance from circumcenter to vertices as the radius, the triangle will become inscribed in the circle.

Answer:

B

Step-by-step explanation:

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