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# 6.6 Properties Of Special Parallelograms (2009)

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### 6.6 Properties Of Special Parallelograms (2009)

3. 9. 6.6 Properties of Special Parallelograms Need: -Notes -Conjecture List
4. 10. What is a Parallelogram? <ul><li>Opposite sides are parallel </li></ul><ul><li>Opposite sides are congruent </li></ul><ul><li>Opposite angles are equal </li></ul><ul><li>Consecutive angles supplementary </li></ul><ul><li>Diagonals bisect eachother </li></ul>
5. 11. What is a Rectangle? <ul><li>Rectangles are special parallelograms </li></ul><ul><ul><li>Has all the properties of a parallelogram </li></ul></ul><ul><li>All angles are congruent </li></ul><ul><ul><li>Each angle is 90 ° </li></ul></ul>
6. 12. What is a Rhombus? <ul><li>Rectangles are special parallelograms </li></ul><ul><ul><li>Has all the properties of a parallelogram </li></ul></ul><ul><li>Has four congruent sides </li></ul><ul><li>Sometimes called a diamond </li></ul>
7. 13. What is a Square? <ul><li>Squares are special parallelograms </li></ul><ul><ul><li>Has all the properties of a parallelogram </li></ul></ul><ul><li>A square is a kind of rectangle </li></ul><ul><ul><li>Each angle is 90 ° </li></ul></ul><ul><li>A square is also a special rhombus </li></ul><ul><ul><li>All sides are congruent </li></ul></ul>
8. 14. What is a Square? <ul><li>A square is an equilateral rectangle </li></ul><ul><li>A square is an equiangular rhombus </li></ul><ul><li>A regular quadrilateral </li></ul>
9. 15. Is a square a rectangle? YES! <ul><li>Opposite Sides Parallel </li></ul><ul><li>Opposite Sides Equal </li></ul><ul><li>Each angle is 90° </li></ul>
10. 16. Is every square a rectangle? YES!
11. 17. Is every rectangle a square? NO!
12. 18. Is a square a rhombus? YES! <ul><li>All sides are equal </li></ul>
13. 19. Is every square a rhombus? YES!
14. 20. Is every rhombus a square? NO!
15. 21. SPECIAL PROPERTIES OF A RHOMBUS Diagonals of a rhombus are perpendicular
16. 22. SPECIAL PROPERTIES OF A RHOMBUS Diagonals of a rhombus bisect the angles
17. 23. Classwork Worksheet