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Published byNancy Blankenship Modified over 6 years ago
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Bellringer Have your Homework (p. 356 #7-11, p. 364 #9-27 skip #13) and Notes out on your Desk Work on p. 363 #1 – 5
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Pop Quiz!!
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Section 6-3: Proving a Quadrilateral is a Parallelogram
SPI Identify, describe and/or apply the relationships and theorems involving different types of quadrilaterals
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Rules from Yesterday If a quadrilateral is a parallelogram, then…
Its opposite sides are parallel Its opposite sides are congruent Its consecutive angles are supplementary Its opposite angles are congruent Its diagonals bisect each other
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Converses If both pairs of opposite sides are parallel, … If both pairs of opposite sides are congruent,… If an angle is supplementary to both of its consecutive angles,… If both pairs of opposite angles are congruent, … If the diagonals bisect each other, … … Then the quadrilateral is a parallelogram!
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One New Theorem… If one pair of opposite sides is BOTH congruent and parallel, then the quadrilateral is a parallelogram
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Questions “Can you prove that the quadrilateral is a parallelogram based on the given information?” “For what values of x and y must ABCD be a parallelogram?”
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Classwork/Homework 6-3 Worksheet Quiz on Friday
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