Circumcenter

Front

What are three or more lines that intersect at the same point called?

Back

Concurrent Lines

Front

What is the point of concurrency formed by the intersection of the perpendicular bisectors of a triangle?

Back

Circumcenter

Front

If point P is the circumcenter of triangle ABC, which segment is equal to PB?

Back

PC

Front

Define the incenter of a triangle.

Back

The intersection point of the three angle bisectors of a triangle.

Front

What is the circumcenter of a triangle?

Back

The point where the three perpendicular bisectors of the sides of the triangle intersect.

Front

How do you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle and finding their intersection.

Front

What is the relationship between the circumcenter and the vertices of the triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Front

What type of triangle has its circumcenter located outside the triangle?

Back

An obtuse triangle.

Front

What is the significance of the circumradius?

Back

The circumradius is the radius of the circumcircle, which passes through all three vertices of the triangle.

Front

In a right triangle, where is the circumcenter located?

Back

At the midpoint of the hypotenuse.