14-3: Circumcenters and Incenters

Front

What are concurrent lines?

Back

Three or more lines that intersect at the same point.

Front

Define: Circumcenter of a triangle.

Back

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

Front

Which point is equidistant from the sides of a triangle?

Back

Incenter.

Front

Define: Incenter of a triangle.

Back

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

Front

What type of point of concurrency is the incenter?

Back

The point where the angle bisectors of a triangle meet.

Front

What is the circumradius?

Back

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

Front

What is the inradius?

Back

The radius of the incircle, which is tangent to all three sides of a triangle.

Front

How do you find the circumcenter of a triangle?

Back

By finding the intersection of the perpendicular bisectors of the sides of the triangle.

Front

How do you find the incenter of a triangle?

Back

By finding the intersection of the angle bisectors of the triangle.

Front

What is a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.