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Properties of Parallelograms

Properties of Parallelograms. Investigate the properties. Use the properties to create and solve equations Prove theorems about parallelograms. Use coordinates to prove theorems algebraically Describe properties of parallelograms using transformations. What do you think?.

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Properties of Parallelograms

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  1. Properties of Parallelograms • Investigate the properties. • Use the properties to create and solve equations • Prove theorems about parallelograms. • Use coordinates to prove theorems algebraically • Describe properties of parallelograms using transformations.

  2. What do you think?

  3. List of Relationships

  4. Vocabulary A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

  5. Theorem 8.3: If a quadrilateral is a parallelogram, then its opposite sides are congruent.

  6. Find the value of each variable in the parallelogram.

  7. Theorem 8.4: If a quadrilateral is a parallelogram, then its opposite angles are congruent.

  8. Find the value of each variable in the parallelogram.

  9. Theorem 8.5: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

  10. Find the value of x in WXYZ.

  11. Theorem 8.6: If a quadrilateral is a parallelogram, then its diagonals bisect each other.

  12. Find the intersection of diagonals The vertices of ABCD are A(1, 6), B(5, 6),C(3, 2), and D(3, 2). The diagonals of ABCD intersect at point P. What are the coordinates of P?

  13. Find the indicated measure in  PQRS. • 1. PR 2. ST 3. mSRQ4. mPQR

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