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2y - 5

Class Opener 1/5/12 Use the properties of a kite to determine the value of each variable and each side length. 3x - 4. x. 2y - 5. Y + 1. Properties of a Parallelogram. Opposite sides of a parallelogram are congruent. Example. Find the value of x in PQRS. 3x - 15. R. Q. P. S. 2x + 3.

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2y - 5

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  1. Class Opener 1/5/12Use the properties of a kite to determine the value of each variable and each side length 3x - 4 x 2y - 5 Y + 1

  2. Properties of a Parallelogram • Opposite sides of a parallelogram are congruent.

  3. Example • Find the value of x in PQRS 3x - 15 R Q P S 2x + 3

  4. Properties of a Parallelogram • Opposite angles of a parallelogram are congruent.

  5. Angles inside a Parallelogram • The angles inside any polygon that share a side are known as Consecutive Angles. A parallelogram has opposite sides parallel. Its consecutive angles are same side interior angles that add up to 180 degrees. X X + Y = 180 Y

  6. Example • Find the value of Y in the following parallelogram. Then find all the angle measures. ? 3y +37 ? 6y + 4

  7. Properties of a Parallelogram • The diagonals of a parallelogram bisect each other.

  8. Example • Find the value of A and B A B + 10 B+2 2A – 8

  9. Properties of Parallelograms • If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.

  10. Example • In the figure to the right, DH CG BF and AE are parallel. AB = BC = CD = 2, and EF = 2.5. Find EH D H 2 C G 2 B F 2 2.5 A E

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