1. Obj: SWBAT identify and classify quadrilaterals and their properties

3. Quadrilaterals Quadrilaterals: Have exactly 4 sides
The sum of the interior angles of all quadrilaterals is 360º
WARNING: Do not assume any additional properties for a quadrilateral unless you are given additional information.

4. Kite Kite: 2 pairs of adjacent sides congruent
NO opposite sides congruent
Diagonals are perpendicular

5. Kite + Algebra Example Solve for x and y.
Before you start, think about:
What are the properties of a kite?
What should you solve for 1st?

6. Trapezoids Trapezoid: ONLY 1 set of parallel sides
Isosceles Trapezoid:
Base angles congruent
Legs congruent

7. Isosceles Trapezoid + Algebra Example
Solve for the value of x in the isosceles trapezoid.
Before you start, think about:
What are the properties of an isosceles trapezoid?
What sides can you set equal?

8. Parallelograms
Parallelogram: - is a quadrilateral with both pairs of opposite sides parallel and congruent
Solve for the value of x in the parallelogram.
Before you start, think about:
What are the properties of a parallelogram?
What sides can you set equal?

9. Rectangles Rectangle: 4 right angles
All of the properties of the parallelogram PLUS:
4 right angles
Congruent diagonals

10. Rhombus
Rhombus All of the properties of the parallelogram PLUS: - 4 congruent sides - diagonals bisect angles - diagonals perpendicular

11. Square
Square Has all of the properties of the parallelogram AND the rectangle AND the rhombus!
4 right angles
4 congruent sides

13. Trapezoid

14. Trapezoid

15. Parallelograms
Parallelogram: - 2 sets of parallel sides - 2 sets of congruent sides - opposite angles congruent - same-side interior angles supplementary - diagonals bisect each other - diagonals form 2 congruent triangles

16. Trapezoids Trapezoid: ONLY 1 set of parallel sides
Isosceles Trapezoid:
Base angles congruent
Legs congruent
Diagonals congruent
Opposite angles supplementary