Question

In the diagram below, if the red lines are perpendicular bisectors, the point at which they cross is called the

Answer 1

a. circumcenter

Explanation:

You want to know the name of the point of intersection of the perpendicular bisectors of the sides of a triangle.

Circumcenter

The perpendicular bisectors of the sides of a triangle intersect at the "circumcenter." It is the center of a circle that circumscribes the triangle, intersecting all three vertices.

Effectively, each side of the triangle is a chord of the circumcircle. The perpendicular bisector of any chord passes through the center of the circle.

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Additional comment

Other "centers" of a triangle are the centroid at the intersection of medians, the incenter at the intersection of angle bisectors, and the orthocenter at the intersection of altitudes.

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