Points of Concurrency Vocab Practice

Front

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

Back

Incenter

Front

What is the point of concurrency where the perpendicular bisectors of a triangle intersect?

Back

Circumcenter

Front

What is the point of concurrency where the medians of a triangle intersect?

Back

Centroid

Front

What is the point of concurrency where the altitudes of a triangle intersect?

Back

Orthocenter

Front

What is the definition of a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the definition of an angle bisector?

Back

A line that divides an angle into two equal angles.

Front

How do you find the centroid of a triangle?

Back

By averaging the x-coordinates and y-coordinates of the vertices.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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

Front

What is the significance of the incenter in a triangle?

Back

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

Front

What is the formula to find the length of a median in a triangle?

Back

Median length = 1/2 * sqrt(2a^2 + 2b^2 - c^2) where a, b, c are the sides of the triangle.