Points of Concurrency

Front

What is the Circumcenter?

Back

The Circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the Incenter?

Back

The Incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the Centroid?

Back

The Centroid is the point where the three medians of a triangle intersect. It is the center of mass of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the Orthocenter?

Back

The Orthocenter is the point where the three altitudes of a triangle intersect. Its position varies depending on the type of triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is a Perpendicular Bisector?

Back

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

Front

What is an Angle Bisector?

Back

An Angle Bisector is a line that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is a Median in a triangle?

Back

A Median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Tags

CCSS.HSG.CO.C.10

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.

Tags

CCSS.HSG.C.A.3

Front

What is the relationship between the Incenter and the sides of a triangle?

Back

The Incenter is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

How can you find the Circumcenter of a triangle?

Back

To find the Circumcenter, construct the perpendicular bisectors of at least two sides of the triangle; their intersection is the Circumcenter.

Tags

CCSS.HSG.C.A.3