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Concept: Properties of a Parallelogram

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  • Theorem - A diagonal of a parallelogram divides it into two congruent triangles
  • Theorem - In a parallelogram, opposite sides are equal
  • Theorem - If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram
  • Theorem - In a parallelogram, opposite angles are equal
  • Theorem - If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram
  • Theorem - The diagonals of a parallelogram bisect each other
  • Theorem - If the diagonals of a quadrilateral bisect each other, then it is a parallelogram
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