Points of Concurrency

Front

What is the centroid of a triangle?

Back

The centroid is the point of concurrency of the three medians of a triangle, dividing each median into a 2:1 ratio.

Front

Where do the three medians of a triangle intersect?

Back

The three medians of a triangle intersect at the centroid.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

What is a median in a triangle?

Back

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

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 an angle bisector?

Back

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

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

How many points of concurrency are there in a triangle?

Back

There are four main points of concurrency in a triangle: centroid, circumcenter, incenter, and orthocenter.