1. Exploring Quadrilaterals Unit 7-3 Objective: You will define and analyze relationships among quadrilaterals.

2.  Quadrilateral— Any polygon with 4 sides Draw a quadrilateral

3.  Parallelograms- 1. A quadrilateral 2. Opposite sides are equal 3. Opposite sides are parallel 4. Opposite angles are equal 5. Consecutive angles are supplementary Draw a Parallelogram

4. Definitions  Parallelograms- any quadrilateral whose opposite sides are parallel and equal.

5. PARALLELOGRAM

6. Definitions  Rhombus—

7. Definitions  Rhombus—any parallelogram where all of the sides are equal.

8. Rhombus Notice the angles are not 90 degrees!!

9. Definitions  Square—

10. Definitions  Square—a rhombus whose angles are all 90 degrees.

11. Definitions  Square—a rhombus whose angles are all 90 degrees.  Remember—a rhombus is a parallelogram with 4 equal sides.

12. Definitions  Square—a rhombus whose angles are all 90 degrees.  Remember—a rhombus is a parallelogram with 4 equal sides.  Remember—a parallelogram is a quadrilateral whose opposite sides are parallel.

13. SQUARE

14. Definitions  Rectangle—

15. Definitions  Rectangle—A parallelogram with 4 right angles.

16. RECTANGLE

17. Definitions  Trapeziod—

18. Definitions  Trapeziod—A quadrilateral with only one pair of parallel sides.

19. Trapeziod

20. ISOSCELES TRAPEZIOD Notice the non-parallel sides are equal.

21. Characteristics of Parallelograms  #1– opposite sides are parallel and equal.

22. Characteristics of Parallelograms  #1– opposite sides are parallel and equal.  #2—opposite angles are equal.

23. Characteristics of Parallelograms  #1– opposite sides are parallel and equal.  #2—opposite angles are equal.  #3—adjacent angles are supplementary.

24. Characteristics of Parallelograms  #1– opposite sides are parallel and equal.  #2—opposite angles are equal.  #3—adjacent angles are supplementary.  #4—diagonals bisect each other.