Properties and Theorems of Parallelograms in Geometry

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Explore the properties and theorems related to parallelograms in geometry, including congruent sides, opposite angles, diagonal bisection, and more. Understand the concepts through examples and visual explanations.

  • Parallelograms
  • Geometry
  • Theorems
  • Congruent Sides
  • Angles

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Presentation Transcript


  1. 6 6- -2 PROPERTIES OF 2 PROPERTIES OF PARALLELOGRAMS PARALLELOGRAMS GEOMETRY

  2. THEOREM 6-1 Opposite sides of a parallelogram are congruent.

  3. EX. 1

  4. Consecutive Angles Angles of a polygon that share a side. They are equal to 180.

  5. EX. 2

  6. THEOREM 6 THEOREM 6- -2 2 Opposite angles of a parallelogram are congruent.

  7. EX. 3

  8. THEOREM 6-3 The diagonals of a parallelogram bisect each other.

  9. EX. 4

  10. Theorem 6-4: If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. BD DF

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