Triangle Centers

Front

What is the point called that is equidistant from the sides of a triangle?

Back

Incenter

Front

Where is the circumcenter located in an obtuse triangle?

Back

Outside the triangle

Front

What is the term for a line that bisects an angle in a triangle?

Back

Angle bisector

Front

What point of concurrency is created by the perpendicular bisectors of a triangle?

Back

Circumcenter

Front

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

Back

Incenter

Front

What is the centroid of a triangle?

Back

The point where the three medians intersect.

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes intersect.

Front

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

Back

The circumcenter is equidistant from all three vertices.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the center of the inscribed circle (incircle) of the triangle.

Front

How can you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle.