Centers of Triangles Practice

Front

What is an altitude in a triangle?

Back

An altitude is a line segment from a vertex of the triangle perpendicular to 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 90-degree angle.

Front

What is a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is the circumcenter of a triangle?

Back

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

Tags

CCSS.HSG.C.A.3

Front

What is the orthocenter of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of the triangle intersect, and it is the center of the inscribed circle.

Tags

CCSS.HSG.C.A.3

Front

What is the centroid of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

How do 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

How do you find the orthocenter of a triangle?

Back

To find the orthocenter, construct the altitudes from each vertex to the opposite side; their intersection is the orthocenter.

Tags

CCSS.HSG.C.A.3