9_2 Conditions of Parallelograms.notebook

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November 08, 2017

Warm-up:

Complete the following theorems about parallelogram properties.

1. If parallelogram, then

2. If parallelogram, then

3. If parallelogram, then

4. If parallelogram, then

9.2: Conditions of Parallelograms

9_2 Conditions of Parallelograms.notebook

2

November 08, 2017

With your partner, study the following conditions and determine whether they are enough to prove a quadrilateral is a parallelogram.

1. 2 pairs of opposite sides congruent

2. 2 pairs of opposite angles congruent

3. one pair of opposite sides parallel and the other pair of opposite sides congruent

4. one pair of opposite sides parallel and congruent

5. Diagonals bisect each other

6. opposite angles supplementary

7. an angle is supplementary to both its consecutive angles (angles next to it)

9_2 Conditions of Parallelograms.notebook

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November 08, 2017

9.2: Conditions of Parallelograms

If                                                          

then parallelogram.A B

C D

If                                                          

then parallelogram.A B

C D

If                                                          

then parallelogram.A B

C D

If                                                          

then A B

C D

If                                                          

then A B

C D

9_2 Conditions of Parallelograms.notebook

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November 08, 2017

Determine if each quadrilateral must be a parallelogram. Justify your answer. 8

8 77>

>

9_2 Conditions of Parallelograms.notebook

5

November 08, 2017

Show that each quadrilateral is a parallelogram for the given values of the variables.

9_2 Conditions of Parallelograms.notebook

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November 08, 2017

9_2 Conditions of Parallelograms.notebook

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November 08, 2017

Pg. 378 #5­12, 14, 15, 18, 20