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6-2: Properties of Parallelograms

6-2: Properties of Parallelograms. What is a Parallelogram?. Symbol for parallelogram:. ___________ of parallelograms can serve as ____________. So you then can use the following angles:. Diagonals. transversals. AIA. SSI. AEA. SSE. Corr.

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6-2: Properties of Parallelograms

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  1. 6-2: Properties of Parallelograms

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

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

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

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

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

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

  8. If LO = 5, PM = 7, QN = RN = 6, find: 7 5 6 12 6 12 21 20

  9. Homework: p. 364 #’s 14-20, 25-30

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