Points of Concurrency

Front

What is the point of concurrency where the three altitudes of a triangle intersect?

Back

Orthocenter

Front

What is the point of concurrency where the three angle bisectors of a triangle intersect?

Back

Incenter

Front

What is the point of concurrency where the three perpendicular bisectors of a triangle intersect?

Back

Circumcenter

Front

What is the point of concurrency where the three medians of a triangle intersect?

Back

Centroid

Front

Define 'Altitude' in the context of a triangle.

Back

A segment from a vertex to the opposite side, forming a right angle with that side.

Front

Define 'Median' in the context of a triangle.

Back

A segment from a vertex to the midpoint of the opposite side.

Front

Define 'Perpendicular Bisector'.

Back

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

Front

Define 'Angle Bisector'.

Back

A ray that divides an angle into two equal angles.

Front

Which point of concurrency is always located inside the triangle?

Back

Centroid and Incenter.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.