Centers of Triangles Practice

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. It is equidistant from all three vertices of the triangle.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the medians of a triangle intersect. It is the center of mass and divides each median into a ratio of 2:1.

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.

Front

What is the orthocenter of a triangle?

Back

The orthocenter is the point where the altitudes of a triangle intersect. Its position varies depending on the type of triangle (acute, right, or obtuse).

Front

What are medians in a triangle?

Back

Medians are line segments that connect a vertex of a triangle to the midpoint of the opposite side.

Front

What are angle bisectors in a triangle?

Back

Angle bisectors are line segments that divide an angle into two equal angles.

Front

What are perpendicular bisectors in a triangle?

Back

Perpendicular bisectors are line segments that are perpendicular to a side of the triangle and bisect that side.

Front

What are altitudes in a triangle?

Back

Altitudes are line segments drawn from a vertex of a triangle perpendicular to the opposite side.

Front

How many centers of a triangle are there?

Back

There are four main centers of a triangle: circumcenter, centroid, incenter, and orthocenter.

Front

What is the relationship between the centroid and the medians?

Back

The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.