Properties of Rhombuses, Rectangles, and Squares

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Explore the properties and theorems associated with rhombuses, rectangles, and squares in geometry. Learn about special parallelograms, diagonals, angle measures, and more through detailed explanations and problem-solving scenarios.

  • Rhombuses
  • Rectangles
  • Squares
  • Properties
  • Theorems

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Presentation Transcript


  1. 6-4 Properties of Rhombuses, Rectangles, and Squares

  2. Special Parallelograms

  3. Problem 1: Classifying Parallelograms

  4. Theorem 6-13 If a parallelogram is a rhombus, then its diagonals are perpendicular

  5. Theorem 6-14 If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles

  6. Problem 2: Finding Angle Measures What are the measures of the numbered angles in rhombus ABCD?

  7. What are the measures of the numbered angles in rhombus PQRS?

  8. Theorem 6-15 If a parallelogram is a rectangle, then its diagonals are congruent

  9. Problem 3: Finding Diagonal Length In rectangle RSBF, ?? = 2? + 15 and ?? = 5? 12. What is the length of a diagonal?

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