Points of Concurrency

Front

What is the definition of a Perpendicular Bisector?

Back

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

Front

What is the definition of an Angle Bisector?

Back

A ray that divides an angle into two equal angles.

Front

What is the definition of a Median in a triangle?

Back

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

Front

What is the definition of an Altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the Circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides of the triangle intersect.

Front

What is the Incenter of a triangle?

Back

The point where the angle bisectors of a triangle intersect.

Front

What is the Centroid of a triangle?

Back

The point where the medians of a triangle intersect.

Front

What is the Orthocenter of a triangle?

Back

The point where the altitudes of a triangle intersect.

Front

How do you find the length of a segment from the circumcenter to a vertex?

Back

The length is equal to the distance from the circumcenter to that vertex.

Front

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

Back

The incenter is equidistant from all sides of the triangle.