1. Parallelograms Geometry Regular Program SY 2015-2016 Source:
Discovering Geometry (2008) by Michael Serra
Geometry (2007) by Ron Larson

2. Definitions

3. Parallelogram Properties
Parallelogram Opposite Angles Conjecture:

4. Parallelogram Properties
Parallelogram Consecutive Angles Conjecture:

5. Parallelogram Properties
Parallelogram Opposite Sides Conjecture:

6. Parallelogram Properties
Parallelogram Diagonals Conjecture:

7. Parallelogram Properties
The quadrilateral is a parallelogram.
Solve for the unknowns.

8. Parallelogram Properties
The quadrilateral is a parallelogram.
Solve for the unknowns.

9. Parallelogram Properties
The quadrilateral is a parallelogram.
Solve for the unknowns.

10. Parallelogram Properties
The quadrilateral is a parallelogram.

11. Parallelogram Properties
The quadrilateral is a parallelogram.

12. Parallelogram Properties
The quadrilateral is a parallelogram.
Solve for the unknowns.

13. #7 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns. #7

14. #8 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns. #8

15. #9 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns. #9

16. #10 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#10

17. #11 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#11

18. #12 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#12

19. #13 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#13

20. #14 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#14

21. #15 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#15

22. #16 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#16

23. #17 The quadrilateral is a parallelogram. Solve for the unknowns.
Exercises
The quadrilateral is a parallelogram.
Solve for the unknowns.
#17

24. #18 The quadrilaterals are parallelograms. Solve for the unknowns.
Exercises
The quadrilaterals are parallelograms.
Solve for the unknowns.
#18

25. #19 The quadrilateral is a parallelogram.
Exercises
The quadrilateral is a parallelogram.
What are the coordinates of M?
#19

26. MORE Exercises on Parallelograms
ALWAYS. SOMETIMES. NEVER.
Diagonals of a parallelogram are perpendicular. S
Consecutive angles of … are complementary. N
Consecutive sides of … are congruent. S
Diagonals of a parallelogram are congruent. S
Diagonals of … intersect at their midpoints. A
#20