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Properties of Parallelograms

Properties of Parallelograms. Section 5-1. Quadrilaterals & Parallelograms. What is a quadrilateral? It is a 4-sided polygon. What is a parallelogram? It is a quadrilateral with both pairs of opposite sides parallel. Do you know the properties of a parallelogram?.

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Properties of Parallelograms

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  1. Properties of Parallelograms Section 5-1

  2. Quadrilaterals & Parallelograms • What is a quadrilateral? • It is a 4-sided polygon. • What is a parallelogram? • It is a quadrilateral with both pairs of opposite sides parallel.

  3. Do you know the properties of a parallelogram? • The DEFINITION only says that the opposite sides are parallel. • What else do you know about its sides? • Angles? • Diagonals?

  4. Properties of Parallelograms • Both pairs of opposite sides are parallel. (definition) • Opposite sides are congruent.

  5. Opposite angles are congruent. • Diagonals bisect each other.

  6. Find the value of x in each parallelogram. 1. 2. 3. 4.

  7. Find the values for x and y in parallelogram ABCD. 8. AE=3x,EC=y,DE=4x,EB=y+1 9. AE=x+5,EC=y,DE=2x+3,EB=y+2 10. AE=3x,EC=2y2,DE=5x,EB=2y+2 11. AE=2x,EC=y+4,DE=x,EB=2y1 12. AE=4x,EC=5y2,DE=2x,EB=y+14

  8. In the figure, TU = UV. Find each length. 13.NM14.QR 15.LN 16.QS

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