Circumcenter & Incenter

Front

Define: CIRCUMCENTER OF A TRIANGLE

Back

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

Tags

CCSS.HSG.C.A.3

Front

Define: INCENTER OF A TRIANGLE

Back

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

Tags

CCSS.HSG.C.A.3

Front

What is the Circumcenter?

Back

The point that is equidistant from the vertices of a triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the Incenter?

Back

The point that is equidistant from the sides of a triangle.

Tags

CCSS.HSG.C.A.3

Front

Which point of concurrency is formed by the perpendicular bisectors?

Back

Circumcenter.

Tags

CCSS.HSG.C.A.3

Front

Which point of concurrency is formed by the angle bisectors?

Back

Incenter.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

Front

How can 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.

Tags

CCSS.HSG.C.A.3

Front

How can you find the incenter of a triangle?

Back

By constructing the angle bisectors of at least two angles of the triangle and finding their intersection.

Tags

CCSS.HSG.C.A.3