1. Use Properties of Parallelograms
8.2

2. Parallelograms
Parallelograms are quadrilaterals where opposite sides are parallel.
The opposite sides are also congruent.
Which one is not a parallelogram?

3. First Theorem…

4. Second theorem…

5. Find the missing sides
b + 2 = 7
b = 5
a – 3 = 14
a = 17

6. Find the values for t and e.
5e + 14 = 12e - 42
14 = 7e - 42
56 = 7e
8 = e
2t + 25 = 8t + 7
25 = 6t + 7
18 = 6t
3 = t

7. What do we know about the opposite angles of a parallelogram?
They’re equal!!!
m = 101

8. Find b
106 = 9b - 2
108 = 9b
12 = b

9. And another theorem

10. Find all the missing angle measures
60 ̊
120 ̊
120 ̊

11. Find a and b
10b +6

12. Solve for x
7x x – 13 = 180
24x + 12 = 180
24x = 168
x = 7

14. Find the missing variables
Which sides are congruent?
15 = 5a
3 = a
b - 1 = 9
b = 10

15. Solve the parallelogram

16. Solve for the sides

17. Solve for the angles