Centers of Triangles

Front

What is the Incenter of a triangle?

Back

The Incenter is the point where all the angle bisectors of a triangle intersect. It is equidistant from all sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the Centroid of a triangle?

Back

The Centroid is the point where all the medians of a triangle intersect. It divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Tags

CCSS.HSG.CO.C.10

Front

What is the Circumcenter of a triangle?

Back

The Circumcenter is the point where all the perpendicular bisectors of a triangle intersect. It is equidistant from all three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the Orthocenter of a triangle?

Back

The Orthocenter is the point where all the altitudes of a triangle intersect. Its position can be inside, on, or outside the triangle depending on the type of triangle.

Tags

CCSS.HSG.CO.C.10

Front

What are the points of concurrency in a triangle?

Back

Points of concurrency are points where three or more lines intersect. In triangles, the main points of concurrency are the Incenter, Centroid, Circumcenter, and Orthocenter.

Tags

CCSS.HSG.C.A.3

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

What is a perpendicular bisector in a triangle?

Back

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

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

Tags

CCSS.HSG.CO.C.10

Front

How many altitudes does a triangle have?

Back

A triangle has three altitudes, one from each vertex.

Tags

CCSS.HSG.CO.C.10