1. Lesson 8.2

2. Definition: A 4-sided shape with parallel opposite sides
Parallelogram
Definition: A 4-sided shape with parallel opposite sides

3. Properties of parallelogramsb
Consecutive angles
are supplementary
Opposite sides
are congruent
Opposite angles
are congruent
a + b = 180o b a
Properties of parallelograms
Each Diagonal separates
the parallelogram into
two congruent triangles
Diagonals bisect each other

4. Assignment
Pg. 415 – 416: #(16 – 31) all

5. Complete each statement about ABCD, Justify your answer
Practice and apply:
Q # 16 – 21
Complete each statement about ABCD, Justify your answer A B C D G
Opposite angles of parallelogram are congruent
Alternate interior angles
Diagonals of parallelogram bisect each other
Opposite sides of parallelogram are //
Diagonal AD separates the Parallelogram into two congruent triangles
Opposite angles of parallelogram are congruent 5

6. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
22)
Alternate interior with 6

7. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
23)
Alternate interior angles 7

8. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
24)
Alternate interior angles 8

9. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
25)
Consecutive angles of parallelogram are supplementary 9

10. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
26)
Linear pair angles 10

11. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
27)
Vertical angles 11

12. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
28)
Opposite sides of parallelogram are congruent 12

13. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
29)
Opposite sides of parallelogram are congruent 13

14. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
30)
Diagonals of parallelogram bisect each other 14

15. Use MNPR to find each measure or value
Practice and apply:
Q # 22 – 31 M N R P Q 20
17.9
15.4
3z – 3
4w – 3
11.1
3x – 4
83o
38o
33o
2y + 5
Use MNPR to find each measure or value
31)
Diagonals of parallelogram bisect each other 15