Centers of Triangles

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

Front

What are the special segments that intersect at the orthocenter?

Back

The orthocenter is the intersection of the altitudes of a triangle.

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect.

Front

What are the special segments that intersect at the circumcenter?

Back

The circumcenter is the intersection of the perpendicular bisectors of a triangle.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

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 angle bisector in a triangle?

Back

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

Front

What is a perpendicular bisector in a triangle?

Back

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

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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