Geometry Unit 5 Review: Triangle Relationships

Front

The ___________ ______________ Theorem says that any point on an angle bisector will be equidistant to the sides of the angle.

Back

Angle Bisector

Front

The first step of an indirect proof is to ____?

Back

assume the negation (opposite) of what you are trying to prove

Front

Identify a median of ΔABC.

Back

AD

Front

The figure is an example of a(n) ...

Back

median

Front

The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.

Back

one third

Front

What is a median in a triangle?

Back

A median is a line segment joining a vertex to the midpoint of the opposite side.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians intersect.

Front

What is the relationship between the centroid and the segments of a median?

Back

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

Front

What does the Angle Bisector Theorem state?

Back

It states that the angle bisector divides the opposite side into segments that are proportional to the adjacent sides.

Front

What is an altitude in a triangle?

Back

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