Properties of Triangle Centers

Front

What is the Incenter of a triangle?

Back

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

Front

What is the Circumcenter of a triangle?

Back

The Circumcenter is the point where the three perpendicular bisectors of a triangle intersect. It is the center of the circumcircle, which passes through all three vertices of the triangle.

Front

What is the Centroid of a triangle?

Back

The Centroid is the point where the three medians of a triangle intersect. It is the center of mass or balance point of the triangle.

Front

What is the Orthocenter of a triangle?

Back

The Orthocenter is the point where the three altitudes of a triangle intersect. Its position varies depending on the type of triangle (acute, right, or obtuse).

Front

What is an angle bisector?

Back

An angle bisector is a line or segment that divides an angle into two equal parts.

Front

What is a perpendicular bisector?

Back

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

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 an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex of a triangle to the line containing the opposite side.

Front

How many triangle centers are there?

Back

There are four main triangle centers: Incenter, Circumcenter, Centroid, and Orthocenter.

Front

What is the relationship between the Incenter and the sides of a triangle?

Back

The Incenter is equidistant from all three sides of the triangle, meaning it is the same distance from each side.