Points of Concurrency Review

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.

Front

What is the point of concurrency of the medians of a triangle called?

Back

The centroid.

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.

Front

What is the incenter of a triangle?

Back

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

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

Back

The length from the centroid to a vertex is 2/3 the length of the median from that vertex.

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 relationship between the circumcenter and the circumradius?

Back

The circumcenter is the center of the circumcircle, and the circumradius is the radius of that circle.

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle.

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass and balances the triangle.