This document classifies and defines different types of quadrilaterals including parallelograms, rectangles, squares, rhombuses, trapezoids, and kites. It notes that parallelograms have opposite sides that are parallel and congruent and opposite angles that are congruent. Rhombuses and squares are specific types of parallelograms where all sides are congruent, and squares are also rectangles. Trapezoids have only one pair of parallel sides, while kites have adjacent congruent sides and opposite congruent angles.

1. Classifying Quadrilaterals
Parallelogram
Rectangle
Square
Rhombus
Trapezoid Kite

2. Parallelogram
Opposite sides are congruent.
Opposite sides are parallel.
Opposite angles are congruent.

3. Rhombus
ALL sides are congruent.
Opposite sides are parallel.
Opposite angles are congruent.
A rhombus can also be called a parallelogram.

4. Rectangle
Opposite sides are congruent.
Opposite sides are parallel.
Opposite angles are congruent.
Rectangles are also parallelograms.

5. Square
ALL sides are congruent.
Opposite sides are parallel.
ALL angles are congruent.
Squares are also parallelograms.
Squares are also rectangles.
Squares are also a rhombus.

6. Trapezoid Kite
Only ONE pair of parallel sides
Adjacent sides congruent.
Opposite angles congruent.