6­2 Properties of Parallelograms
January 07, 2010
6­2 Properties of Parallelograms
Objective
Use relationships among sides,
angles, and diagonals of parallelograms.
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6­2 Properties of Parallelograms
January 07, 2010
6­1 Review
Attachment
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6­2 Properties of Parallelograms
January 07, 2010
Warm­Up
F
G
Use the figure at the right.
1. Name the postulate or theorem that justifies the congruence ΔEFG ≅ ΔGHE.
E
H
2. Which sides of the parallelogram are
congruent?
3. Which angles of the parallelogram are
congruent?
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6­2 Properties of Parallelograms
January 07, 2010
A PARALLELOGRAM is a quadrilateral with opposite sides parallel.
F
E
G
H
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6­2 Properties of Parallelograms
January 07, 2010
Example #1
Which property of parallelograms would you use to solve for x?
Then solve for x.
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6­2 Properties of Parallelograms
January 07, 2010
Example #2
Which property of parallelograms would you use to solve for y?
Then solve for y.
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6­2 Properties of Parallelograms
January 07, 2010
Example #3
Given parallelogram EFGH, what will F and E add up to?
F
E
G
H
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6­2 Properties of Parallelograms
January 07, 2010
Third Property of Parallelograms
B
2
Prove Theorem 6­3
Given: Prove:
1
C
4
E
3
A
D
Reasons
Statements
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6­2 Properties of Parallelograms
January 07, 2010
Example #4
Solve for a and z.
F
G
4z
4
5a ­
E
12
a +
12
H
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6­2 Properties of Parallelograms
January 07, 2010
Example #5
Solve for x and y.
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6­2 Properties of Parallelograms
January 07, 2010
Homework
Pg. 315
#1, 2, 7­10, 12, 15, 16, 38, 46
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Attachments
shapemakers[1].gsp