62 Properties of Parallelograms
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62 Properties of Parallelograms
ObjectiveUse relationships among sides,
angles, and diagonals of parallelograms.
62 Properties of Parallelograms
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61 Review
Attachment
62 Properties of Parallelograms
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WarmUp
E
F
H
G
2. Which sides of the parallelogram are congruent?
3. Which angles of the parallelogram are congruent?
Use the figure at the right.1. Name the postulate or theorem that justifies the congruence ΔEFG ≅ ΔGHE.
62 Properties of Parallelograms
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F
H
G
E
A PARALLELOGRAM is a quadrilateral with opposite sides parallel.
62 Properties of Parallelograms
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Which property of parallelograms would you use to solve for x?
Then solve for x.
Example #1
62 Properties of Parallelograms
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Which property of parallelograms would you use to solve for y?
Then solve for y.
Example #2
62 Properties of Parallelograms
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F
H
G
E
Given parallelogram EFGH, what will F and E add up to?
Example #3
62 Properties of Parallelograms
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Third Property of Parallelograms
A1
2
3
B
D
E
4C
Prove Theorem 63Given:
Prove:
Statements Reasons
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Solve for a and z.4z
125a 4a + 1
2F
H
G
E
Example #4
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Example #5
Solve for x and y.
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Homework
Pg. 315
#1, 2, 710, 12, 15, 16, 38, 46
Attachments
shapemakers[1].gsp