1. Parallelograms Geometry Regular Program SY 2014-2015 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. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

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

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

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

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

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

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

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

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

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

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

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

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

26. MORE Exercises on Parallelograms ALWAYS. SOMETIMES. NEVER. 1.Diagonals of a parallelogram are perpendicular. S 2.Consecutive angles of … are complementary. N 3.Consecutive sides of … are congruent. S 4.Diagonals of a parallelogram are congruent. S 5.Diagonals of … intersect at their midpoints. A