Circumcenter Incenter Centroid Orthocenter

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 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 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 2:1 ratio.

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 altitudes in a triangle?

Back

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

Front

What are angle bisectors in a triangle?

Back

Angle bisectors are segments that divide an angle into two equal angles, extending from a vertex to the opposite side.

Front

What are medians in a triangle?

Back

Medians are segments drawn from a vertex to the midpoint of the opposite side.

Front

What are perpendicular bisectors in a triangle?

Back

Perpendicular bisectors are segments that cut a side of the triangle into two equal parts at a right angle.

Front

How many points of concurrency are there in a triangle?

Back

There are four points of concurrency in a triangle: circumcenter, incenter, centroid, and orthocenter.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.