Centers of Triangles

Front

What is the perpendicular bisector of a triangle?

Back

A line that divides a side of the triangle into two equal parts at a right angle.

Front

What is the centroid of a triangle?

Back

The point where the three medians of the triangle intersect; it is the center of mass.

Front

What is the circumcenter of a triangle?

Back

The point where the perpendicular bisectors of the sides of the triangle intersect; it is equidistant from all vertices.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect; it is equidistant from all sides.

Front

What is the altitude of a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a median in a triangle?

Back

A line segment joining a vertex to the midpoint of the opposite side.

Front

How many centers can a triangle have?

Back

A triangle can have four centers: centroid, circumcenter, incenter, and orthocenter.

Front

What is the orthocenter of a triangle?

Back

The point where the three altitudes of the triangle intersect.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the center of the circumcircle, which passes through all three vertices of the triangle.