Points of Concurrency

Front

What are angle bisectors?

Back

Angle bisectors are segments that divide an angle into two equal parts, intersecting at the vertex of the angle.

Front

What is the circumcenter?

Back

The circumcenter is the point where the perpendicular bisectors of a triangle intersect, and it is equidistant from all three vertices.

Front

What is the incenter?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is equidistant from all three sides.

Front

What is the centroid?

Back

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

Front

What is the orthocenter?

Back

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

Front

What are medians in a triangle?

Back

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

Front

What are perpendicular bisectors?

Back

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

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.

Front

How do you find the incenter of a triangle?

Back

To find the incenter, construct the angle bisectors of the triangle; their intersection is the incenter.

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.