Points of Concurrency review

Front

What is a point of concurrency in geometry?

Back

A point where three or more lines intersect.

Front

Name the three main points of concurrency in a triangle.

Back

Centroid, circumcenter, and orthocenter.

Front

What is the circumcenter of a triangle?

Back

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

Front

How is the circumcenter related to the circumcircle of a triangle?

Back

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

Front

What is the centroid of a triangle?

Back

The point where the three medians of the triangle intersect.

Front

How do you find the centroid of a triangle given its vertices?

Back

The centroid can be found by averaging the x-coordinates and the y-coordinates of the vertices.

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes of the triangle intersect.

Front

What is the relationship between the orthocenter and the triangle's vertices?

Back

The orthocenter can lie inside, outside, or on the triangle depending on the type of triangle (acute, obtuse, or right).

Front

What is a median in a triangle?

Back

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

Front

What is an altitude in a triangle?

Back

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