1. Special Parallelograms
Geometry 6-4

3. Special Parallelograms
If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first set of parallel lines then the parallelogram formed is a rhombus.
Special Parallelograms

4. Rhombus Investigation

5. Rhombus Diagonal Theorem
Diagonals of a rhombus are perpendicular and they are bisectors
Rhombus Diagonal Theorem

6. Rhombus Investigation

7. Rhombus Angle Conjecture
The diagonals of a rhombus bisect the angles of a rhombus
Rhombus Angle Conjecture

8. Rectangle Investigation

9. Rectangle Diagonal Conjecture
The diagonals if a rectangle are congruent and bisectors
Rectangles are also parallelograms, so all parallelogram conjectures also apply
Rectangle Diagonal Conjecture

10. What figure combines the properties of a rectangle and a rhombus?
Square
So, combine all the diagonal properties
Combination

11. Square Diagonal Conjecture
The diagonals of a square are congruent, perpendicular and bisectors
Square Diagonal Conjecture

12. Sample Problems

13. Sample Problems

14. Sample Problems

15. Sample Problems

16. Sample Problems

17. Sample Problems

18. Practice

19. Practice

20. Practice

21. Practice

22. Practice

23. Practice

24. Practice

25. Practice

26. Practice

27. Pages 315 – 317
7 – 12, 16 – 21,
Homework

28. Pages 315 – 317
7 – 12, 16 – 21, 25 – 37, 54
Honors Homework