Circumcenter, Incenter, centroid, orthocenter

Front

What is the circumcenter of a triangle?

Back

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

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 equidistant from all sides of the triangle.

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 the center of mass of the triangle.

Front

What is the orthocenter of a triangle?

Back

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

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 perpendicular bisectors?

Back

Perpendicular bisectors are lines that divide a segment into two equal parts at a right angle.

Front

What are angle bisectors?

Back

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

Front

What are medians in a triangle?

Back

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

Front

How many points of concurrency are there in a triangle?

Back

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

Front

What is the relationship between the incenter and the sides of a triangle?

Back

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