# Lesson 8.2.

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Lesson 8.2

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

Properties of parallelograms
b 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

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

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

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

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

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

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

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

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

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

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

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

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

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