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Special Parallelograms

Explore the special properties of rhombus, rectangle, and square parallelograms. Learn about diagonals, angles, and congruence. Solve exercises to identify and work with these quadrilaterals effectively.

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Special Parallelograms

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  1. Special Parallelograms Geometry Regular Program SY 2015-2016 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

  2. Properties • SPECIAL PARALLELOGRAMS • RHOMBUS : • Diagonals are perpendicular. • Diagonals bisect the angles. • RECTANGLE : • Diagonals are congruent. • SQUARE : • has all the properties of rhombuses and rectangles

  3. Exercises Solve for the unknowns.

  4. Exercises Solve for the unknowns.

  5. Exercises Solve for the unknowns.

  6. Exercises No. Even if the diagonals are perpendicular, the sides are not congruent.

  7. Exercises Yes. It is equiangular.

  8. Exercises Yes. Triangles are congruent By SAS. Therefore, opposite sides are congruent.

  9. Exercises Determine the specific type of quadrilateral, and then solve for the variables.

  10. Exercises Determine the specific type of quadrilateral, and then solve for the variables.

  11. Exercises Determine the specific type of quadrilateral, and then solve for the variables.

  12. Exercises Determine the specific type of quadrilateral, and then solve for the variables.

  13. Exercises

  14. Exercises

  15. Properties Fill in the table with “YES (always true)” or “NO”.

  16. Quadrilateral Family

  17. Quadrilateral Family

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