Geometry - Medians and Triangles

These flashcards cover key definitions and theorems related to medians, triangles, and their properties in geometry.

Median

A line segment drawn from any vertex of a triangle to the midpoint of the opposite side.

Point of Concurrence

The point where the medians of a triangle intersect.

Ratio of Medians

The ratio in which the point of concurrence divides each median is 2:1 from the vertex.

Median in Right-Angled Triangle

In a right-angled triangle, the median from the right angle is half the length of the hypotenuse.

Converse of Median Theorem

If the length of the median drawn from a vertex equals half the length of the opposite side, then the angle at that vertex is a right angle.

Base Angles of Isosceles Triangle

The two angles opposite the equal sides of an isosceles triangle are congruent.

Equilateral Triangle

A triangle in which all three sides and angles are equal, and each angle measures 60 degrees.

Angle Bisector in Isosceles Triangle

The bisector of the vertex angle of an isosceles triangle bisects the base and is perpendicular to it.

Exterior Angle Theorem

The measure of an exterior angle of a triangle is greater than the measure of either of the two remote interior angles.

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.