1. Parallelogram Rectangle Rhombus Square Trapezoid Kite
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
Kite

2. Each shape has four sides.
Quadrilaterals
“Quad” means four. Why would all of these shapes be called “quadrilaterals”?
Each shape has four sides.
trapezoid
square
kite
rhombus
parallelogram
rectangle

3. Parallelograms Opposite Sides are Parallel
Consecutive Angles are Supplementary
Opposite Angles are Congruent
Opposite Sides are Congruent
Diagonals Bisect Each Other

4. Rectangles, Squares, and Rhombuses Are All Special Types of Parallelograms

5. All Have the Properties of Parallelograms
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other A B
m<A + m<B = 180°
90° + 90° = 180°

6. Rectangle A parallelogram with right angles
Diagonals are Congruent.

7. Rhombus A parallelogram with 4 congruent sides.
Diagonals bisect opposite angles.
Diagonals are perpendicular.

8. Square A parallelogram with 4 congruent sides and right angles.
Diagonals are congruent.
Diagonals are perpendicular.
Diagonals bisect opposite angles.

9. Squares Have All the Properties of Rectangles and Rhombuses (and Parallelograms, too!)
All four sides are congruent
All four angles are right angles
Diagonals are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles

10. One pair of parallel sides.
Trapezoids
One pair of parallel sides.
Two pair of supplementary angles.

11. Isosceles Trapezoid Nonparallel sides congruent
Two pair of base angles congruent.
Diagonals are congruent

12. Adjacent sides congruent, opposite sides not congruent.
Kite
Adjacent sides congruent, opposite sides not congruent.

13. Quadrilaterals SHAPE SIDES ANGLES PARALLEL LINES Square 4 same length
4 right angles
2 sets
Rhombus
2 acute
2 obtuse
Trapezoid
different lengths
different angles
1 set
Rectangle
2 long, short
Parallelogram
2 acute obtuse