Relationships in Triangles Review

Front

What is the definition of the orthocenter in a triangle?

Back

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

Front

What are the special segments that intersect at the orthocenter?

Back

The special segments that intersect at the orthocenter are the altitudes.

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

How does the centroid divide each median?

Back

The centroid divides each median into two segments, with the shorter segment being one third the length of the entire median.

Front

What is the range of possible lengths for the third side of a triangle with sides of 17 meters and 12 meters?

Back

The range of possible lengths for the third side is 5 < x < 29.

Front

What is the definition of the incenter in a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect.

Front

What is the relationship between the sides of a triangle and the lengths of the third side?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the formula for finding the length of a segment in a triangle?

Back

The length of a segment can often be found using the triangle inequality theorem.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment that connects a vertex of a 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.