Centers of Triangle Review - Geometry

These flashcards cover key geometric concepts and theorems presented in the lecture notes.

Perpendicular Bisector

A line that divides another line segment into two equal parts at a right angle.

Angle Bisector

A line that divides an angle into two equal angles.

Median

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

Altitude

A line segment from a vertex of a triangle perpendicular to the opposite side.

Circumcenter

The point where the perpendicular bisectors of a triangle intersect, equidistant from the vertices.

Incenter

The point where the angle bisectors of a triangle intersect, equidistant from the sides.

Centroid

The point where the medians of a triangle intersect, also known as the center of mass.

Orthocenter

The point where the altitudes of a triangle intersect.

Triangle Inequality Theorem

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

Range

The difference between the maximum and minimum values in a set, calculated by subtracting the smallest value from the largest.