Centers of Triangles

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 a perpendicular bisector in a triangle?

Back

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

Front

What is an angle bisector in a triangle?

Back

An angle bisector is a line that divides an angle of the triangle into two equal angles.

Tags

CCSS.HSG.CO.C.9

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 the orthocenter of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass.

Tags

CCSS.HSG.CO.C.10

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the three perpendicular bisectors of a triangle intersect, and it is the center of the circumcircle.

Tags

CCSS.HSG.C.A.3

Front

What is the incenter of a triangle?

Back

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

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

Front

What is the relationship between the orthocenter and the triangle's altitudes?

Back

The orthocenter is the intersection point of the triangle's altitudes.

Tags

CCSS.HSG.C.A.3