2. 6-2 Properties of Parallelograms
Using the definition of parallelogram, students will construct several theorems regarding the equivalence of sides, angles, and bisection of diagonals.
To use relationships among sides and among angles of parallelograms
To use relationships involving diagonals of parallelograms.

6. Example 1: Using Consecutive Angles

7. Check Understanding

8. Key Concepts

9. Proof of Theorem 6-2

10. Example 2: Using Algebra

11. Check Understanding

12. Key Concepts

13. Proof of Theorem 6-3

14. Example 3: Using Algebra

15. Check Understanding

16. Key Concepts

17. Example 4: Real-World Connection

18. Check Understanding

19. The following questions are designed to help you determine if you personally understood today’s lesson.
Please be sure to record the number you get right on your portfolio sheet.
Be sure to take time to understand the ones you miss!
6-2 Quiz

20. 1. LMNO is a parallelogram
1. LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5 find the value of x and then find NM and OL.
x = 7, NM = 20, OL = 22
x = 5, NM = 20, OL = 20
x = 7, NM = 22, OL = 22
x = 5, NM = 22, OL = 20
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21. 2. Find the values of the variables in the parallelogram
2. Find the values of the variables in the parallelogram. The diagram is not to scale.
x = 49; y = 29; z = 102
x = 29; y = 49; z = 131
x = 49; y = 49; z = 131
x = 29; y = 49; z = 102
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22. 119 61
129 68
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23. 9 12 6 3
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24. 5. Find AM in the parallelogram if PN =9 and AO = 4
5. Find AM in the parallelogram if PN =9 and AO = 4. The diagram is not to scale. 8 4 9
4.5
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25. Assignment
6-2 p #2- 52 even