6.2 - 6. 3 Homework Bisectors, Medians and Altitudes of aTriangl

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 segments intersect at the centroid of a triangle?

Back

The centroid is the intersection of the medians of a triangle.

Front

How do you find the coordinates of the circumcenter of a triangle?

Back

The circumcenter can be found by determining the intersection of the perpendicular bisectors of the sides of the triangle.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is the definition of an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the relationship between the centroid and the segments it divides?

Back

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

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.

Front

What is the point of concurrency for the angle bisectors of a triangle?

Back

The point of concurrency for the angle bisectors is called the Incenter.

Front

What is the point of concurrency for the medians of a triangle?

Back

The point of concurrency for the medians is called the Centroid.

Front

What is the point of concurrency for the altitudes of a triangle?

Back

The point of concurrency for the altitudes is called the Orthocenter.