Wed 11/15 CW Center of triangles

Front

What is the centroid of a triangle?

Back

The centroid is the point of concurrency of the three medians of a triangle, and it is the center of mass or balance point of the triangle.

Front

What is the circumcenter of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

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

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point of concurrency of the altitudes of a triangle.

Front

How do you find the centroid of a triangle?

Back

To find the centroid, average the x-coordinates and the y-coordinates of the vertices of the triangle.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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

Front

What is the significance of the incenter in triangle geometry?

Back

The incenter is the center of the incircle, which is the circle that is tangent to all three sides of the triangle.

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 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 points of concurrency in a triangle: centroid, circumcenter, incenter, and orthocenter.