Circumcenter and Incenter

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is a key property of the circumcenter?

Back

The circumcenter is equally distant to the vertices of the triangle.

Front

What segments intersect at the circumcenter?

Back

The circumcenter is the intersection of the perpendicular bisectors of the sides of the triangle.

Front

How can you locate the circumcenter in a triangle?

Back

To locate the circumcenter, draw the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect.

Front

What is a key property of the incenter?

Back

The distance from the incenter to each side of the triangle is the same.

Front

What segments intersect at the incenter?

Back

The incenter is the intersection of the angle bisectors of the triangle.

Front

How can you locate the incenter in a triangle?

Back

To locate the incenter, draw the angle bisectors of all three angles of the triangle; their intersection is the incenter.

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

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.