incenter and circumcenter test

Front

What are concurrent lines?

Back

Lines that intersect at the same point.

Front

What is the circumcenter of a triangle?

Back

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

Front

What segments intersect at the circumcenter?

Back

Perpendicular bisectors.

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of the triangle intersect.

Front

What segments intersect at the incenter?

Back

Angle bisectors.

Front

What is the centroid of a triangle?

Back

The point where the medians of the triangle intersect.

Front

What is the orthocenter of a triangle?

Back

The point where the altitudes of the triangle intersect.

Front

What is the relationship between the circumcenter and the circumcircle?

Back

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

Front

What is the relationship between the incenter and the incircle?

Back

The incenter is the center of the incircle, which is tangent to all sides of the triangle.

Front

How do you find the circumcenter of a triangle?

Back

By constructing the perpendicular bisectors of at least two sides of the triangle and finding their intersection.