# Properties & Definitions of Quadrilaterals

## 6 terms · Properties and definitions for: parallelograms, rectangles, kites, rhombuses, squares, and isosceles trapezoids.

### Parallelogram

A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
- Opposite sides parallel
- Opposite sides congruent
- Opposite angles congruent
- Diagonals bisect each other
- Any pair of consecutive angles supplementary

### Rectangle

A rectangle is a parallelogram in which at least on angle is a right angle.
- Properties of parallelogram
- All angles right angles
- Diagonals congruent

### Kite

A kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent..
- Two disjoint pairs of consecutive sides congruent
- Diagonals perpendicular
- One diagonal perpendicularly bisects other
- One diagonal bisects a pair of opposite angles
- One pair of opposite angles congruent

### Rhombus

A rhombus is a parallelogram in which at least two consecutive sides are congruent.
- Properties of parallelogram
- Properties of kite
- All sides congruent
- Diagonals bisect angles
- Diagonals perpendicularly bisect each other
- Diagonals divide rhombus into four congruent right triangles

### Square

A square is a parallelogram that is both a rectangle and a rhombus.
- Properties of parallelogram
- Properties of rhombus
- Diagonals form four isosceles right triangles

### Isosceles Trapezoid

An isosceles trapezoid is a trapezoid in which the nonparallel sides are congruent.
- Legs congruent
- Bases parallel
- Lower base angles congruent
- Upper base angles congruent
- Diagonals congruent
- Any lower base angle is supplementary to any upper base angle