Bellwork, Circumcenter and Incenter

Front

Define: CIRCUMCENTER OF A TRIANGLE

Back

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

Front

Define: INCENTER OF A TRIANGLE

Back

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

Front

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

Back

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

Front

Which point in a triangle is equidistant from the sides?

Back

Incenter.

Front

What is the circumradius?

Back

The radius of the circumcircle, which is the circle that 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 any two sides of the triangle.

Front

What is the significance of the incenter in a triangle?

Back

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

Front

Define: PERPENDICULAR BISECTOR.

Back

A line that divides a segment into two equal parts at a right angle.

Front

What is the relationship between the incenter and the triangle's angles?

Back

The incenter is located at the intersection of the angle bisectors, which divides the angles into two equal parts.

Front

What is the inradius?

Back

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