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.

Tags

CCSS.HSG.C.A.3

Front

What segments intersect at the CIRCUMCENTER of a triangle?

Back

The CIRCUMCENTER is the intersection of the perpendicular bisectors of the sides of a triangle.

Tags

CCSS.HSG.C.A.3

Front

What is the point where all three medians of a triangle meet called?

Back

The point where all three medians meet is called the Centroid.

Tags

CCSS.HSG.CO.C.10

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.A.1

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 the relationship between the incenter and the triangle's sides?

Back

The incenter is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3

Front

How can you find the circumcenter of a triangle?

Back

To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle; their intersection is the circumcenter.

Tags

CCSS.HSG.C.A.3

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the center of mass of the triangle and divides each median into a 2:1 ratio.

Tags

CCSS.HSG.CO.C.10