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.

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.

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.

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.

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.

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.

Front

How many altitudes does a triangle have?

Back

A triangle has three altitudes, one from each vertex.