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.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

You create the Circumcenter.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

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

Back

The point of concurrency is called the Incenter.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.CO.C.11