Centers of Triangles

Front

What is the Incenter of a triangle?

Back

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

Front

What segments intersect at the Centroid of a triangle?

Back

The Centroid is the intersection point of the three medians of a triangle.

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 the Circumcenter of a triangle?

Back

The Circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is the center of the circumcircle.

Front

What is the Orthocenter of a triangle?

Back

The Orthocenter is the point where the altitudes of a triangle intersect.

Front

What is an Angle Bisector?

Back

An Angle Bisector is a line that divides an angle into two equal parts.

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?

Back

A Perpendicular Bisector is a line that divides a segment into two equal parts at a right angle.

Front

How many medians does a triangle have?

Back

A triangle has three medians, one from each vertex.

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.