Triangle Centers

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that splits an angle into two congruent angles.

Tags

CCSS.HSG.CO.C.9

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the triangle's incircle.

Tags

CCSS.HSG.C.A.3

Front

What segments intersect at the centroid of a triangle?

Back

The centroid is the intersection of the medians of a triangle.

Tags

CCSS.HSG.CO.C.10

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, and it is the center of the triangle's circumcircle.

Tags

CCSS.HSG.C.A.3

Front

What is the orthocenter of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

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 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

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is the circle inscribed within the triangle.

Tags

CCSS.HSG.C.A.3

Front

How do you find the centroid of a triangle?

Back

The centroid can be found by averaging the coordinates of the vertices of the triangle.

Tags

CCSS.HSG.C.A.3