Points of Concurrency

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 created by the medians of a triangle?

Back

The point of concurrency is called the Centroid.

Front

When you draw the perpendicular bisectors of a triangle, what point of concurrency do you create?

Back

You create the Circumcenter.

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 an angle bisector?

Back

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

Front

What is the point of concurrency created by the angle bisectors of a triangle?

Back

The point of concurrency is called the Incenter.

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 also the center of the inscribed circle.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a line segment into two equal parts at a right angle.

Front

What is the relationship between the circumcenter and the circumcircle of a triangle?

Back

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

Front

How do you find the length of a segment in a triangle?

Back

You can use the properties of triangles, such as the Pythagorean theorem or the triangle inequality theorem.