Which point of concurrency in a triangle is the center of a circle that contains the vertices of the triangle?

Isn't it the intersection of the perpendicular bisectors of the sides?

The point of concurrency in a triangle that is the center of a circle that contains the vertices of the triangle is called the circumcenter.

The point of concurrency in a triangle that is the center of a circle containing the vertices of the triangle is called the circumcenter.

To find the circumcenter of a triangle, you can use the following steps:

1. Draw the perpendicular bisectors of the sides of the triangle. A perpendicular bisector is a line that intersects a line segment at a right angle and divides it into two equal parts.

2. Locate the point where the perpendicular bisectors intersect. This point is the circumcenter.

3. Draw a circle with the circumcenter as its center and the distance from the circumcenter to any vertex of the triangle as its radius. This circle will pass through all three vertices of the triangle.

By following these steps, you can identify the circumcenter of a triangle.