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Lesson 8.2. Definition: A 4-sided shape with parallel opposite sides.

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Presentation on theme: "Lesson 8.2. Definition: A 4-sided shape with parallel opposite sides."— Presentation transcript:

1 Lesson 8.2

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

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

4 Pg. 415 – 416: #(16 – 31) all

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

6 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 22) Alternate interior with

7 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 23) Alternate interior angles

8 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 24) Alternate interior angles

9 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 25) Consecutive angles of parallelogram are supplementary

10 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 26) Linear pair angles

11 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 27) Vertical angles

12 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 28) Opposite sides of parallelogram are congruent

13 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 29) Opposite sides of parallelogram are congruent

14 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 30) Diagonals of parallelogram bisect each other

15 Practice and apply: Use MNPR to find each measure or value MN RP Q z – 3 4w – x – 4 83 o 38 o 33 o 2y + 5 Q # 22 – 31 31) Diagonals of parallelogram bisect each other


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