Triangle Bisectors, Medians, Altitudes and Inequalities in One Triangle

Front

What is the point of concurrency of the three altitudes of a triangle called?

Back

Orthocenter

Front

What is the point of concurrency of the three medians of a triangle called?

Back

Centroid

Front

What is the term for a line that divides a segment into two equal parts at a right angle?

Back

Perpendicular bisector

Front

What is the term for a segment that bisects an angle of a triangle?

Back

Angle bisector

Front

What is the term for a segment that connects a vertex of a triangle to the midpoint of the opposite side?

Back

Median

Front

What is the relationship between the lengths of the sides of a triangle and the angles opposite those sides?

Back

The larger the angle, the longer the opposite side.

Front

What is the triangle inequality theorem?

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 circumcenter of a triangle?

Back

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

Front

What is the incenter of a triangle?

Back

The point where the angle bisectors of a triangle intersect.

Front

What is the relationship between the centroid and the medians of a triangle?

Back

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