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Parallelograms

Explore the properties of parallelograms through regular geometry programs, solving unknowns, and exercises. Source from Discovering Geometry by Michael Serra and Geometry by Ron Larson.

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Parallelograms

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  1. Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

  2. Definitions

  3. Parallelogram Properties Parallelogram Opposite Angles Conjecture:

  4. Parallelogram Properties Parallelogram Consecutive Angles Conjecture:

  5. Parallelogram Properties Parallelogram Opposite Sides Conjecture:

  6. Parallelogram Properties Parallelogram Diagonals Conjecture:

  7. Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

  8. Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

  9. Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

  10. Parallelogram Properties The quadrilateral is a parallelogram.

  11. Parallelogram Properties The quadrilateral is a parallelogram.

  12. Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

  13. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  14. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  15. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  16. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  17. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  18. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  19. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  20. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  21. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  22. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  23. Exercises The quadrilateral is a parallelogram. Solve for the unknowns.

  24. Exercises The quadrilaterals are parallelograms. Solve for the unknowns.

  25. Exercises The quadrilateral is a parallelogram. What are the coordinates of M?

  26. MORE Exercises on Parallelograms • ALWAYS. SOMETIMES. NEVER. • Diagonals of a parallelogram are perpendicular. S • Consecutive angles of … are complementary. N • Consecutive sides of … are congruent. S • Diagonals of a parallelogram are congruent. S • Diagonals of … intersect at their midpoints. A

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