Properties of Triangle Centers

Front

What is the Incenter of a triangle?

Back

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

Front

What segments intersect at the Incenter?

Back

Angle Bisectors.

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. It is equidistant from all three vertices.

Front

What segments intersect at the Circumcenter?

Back

Perpendicular Bisectors.

Front

What is the Orthocenter of a triangle?

Back

The Orthocenter is the point where the altitudes of a triangle intersect.

Front

What is the Centroid of a triangle?

Back

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

Front

What segments intersect at the Centroid?

Back

Medians.

Front

What is an Angle Bisector?

Back

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

Front

What is a Perpendicular Bisector?

Back

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

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.