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Unit 9 Lesson 6.2A: Parallelograms
CCSS Lesson Goals G-CO 11: Prove theorems about parallelograms. State the definition and properties of a parallelogram Use the properties of a parallelogram to solve for missing lengths and angle measures. ESLRs: Becoming Effective Communicators, Competent Learners and Complex Thinkers
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Parallelograms A quadrilateral with
both pairs of opposite sides parallel. both pairs of opposite sides congruent. both pairs of opposite angles congruent. supplementary consecutive angles. diagonals that bisect each other. This is the definition
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Parallelograms A quadrilateral with
definition A quadrilateral with both pairs of opposite sides parallel. A B D C
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Parallelograms A quadrilateral with
property A quadrilateral with both pairs of opposite sides congruent. A B D C
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Parallelograms A quadrilateral with
property A quadrilateral with both pairs of opposite angles congruent. A B D C
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Parallelograms A quadrilateral with diagonals that bisect each other.
property A quadrilateral with diagonals that bisect each other. A B C D E
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Parallelograms A quadrilateral with supplementary consecutive angles.
property A quadrilateral with supplementary consecutive angles. A B D C
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Example
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You Try
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You Try
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You Try
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You Try
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Example Find JH and LH K J 6 6 8 8 L G H
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Example Find the other angle measures K J 105o 105o G H
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Example Find the other angle measures K J 75o 105o 105o G H
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Example Find the other angle measures K J 75o 105o 105o 75o G H
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You Try K J G H
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Example Find the value of each variable in the parallelogram
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Example Find the value of each variable in the parallelogram
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Example Find the value of each variable in the parallelogram
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Summary Create a mnemonic or acronym to remember the characteristics of a parallelogram.
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Today’s Assignment p. 333: 1 – 11, 20 – 25, 27 – 39 o
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