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What is a Parallelogram? A quadrilateral with both pairs of opposite sides parallel. Symbol for parallelogram: ___________ of parallelograms can serve.

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Presentation on theme: "What is a Parallelogram? A quadrilateral with both pairs of opposite sides parallel. Symbol for parallelogram: ___________ of parallelograms can serve."— Presentation transcript:

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2 What is a Parallelogram? A quadrilateral with both pairs of opposite sides parallel. Symbol for parallelogram: ___________ of parallelograms can serve as ____________. So you then can use the following angles: transversals Diagonals AIA AEA Corr SSI SSE

3 Theorem 6-3 If a quadrilateral is a parallelogram, ________________ ___________________. sides are congruent then its opposite

4 Theorem 6-4 If a quadrilateral is a parallelogram, __________________ ________________________. angles are supplementary then its consecutive

5 Theorem 6-5 If a quadrilateral is a parallelogram, ________________ ____________________. angles are congruent then its opposite

6 The diagonals are: Theorem 6-6 If a quadrilateral is a parallelogram, _________________ ________________. bisect each other then its diagonals M

7 Theorem 6-7 If 3 or more parallel lines cut off congruent segments on one transversal, ___________________________________ ___________________. on every transversal then they cut off congruent segments

8 If LO = 5, PM = 7, QN = RN = 6, find: a). AE = _____b). JN = _____c). IM = _____ d). DG =_____e). FN = _____f). QK = _____ g). PF = _____h). AO = _____ 5 6 7 6 12 2120

9 Homework: p. 364 #’s 14-20, 25-30


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