Perpendicular and Angle Bisectors of a Triangle

Front

The place where all three perpendicular bisectors meet is called the ...

Back

Circumcenter

Front

The place where all three angle bisectors meet is called the ...

Back

Incenter

Front

What is the special property for circumcenters?

Back

The circumcenter is equally distant to the vertices.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

What is the definition of an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is the centroid of a triangle?

Back

The point where all three medians intersect.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the 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

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is tangent to all three 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.