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Exploring Rectangles, Rhombuses, and Squares in Honors Geometry

Learn about the properties of rectangles, rhombuses, and squares in geometry. Understand how these shapes differ and the theorems that apply to each. Dive into examples to grasp the concepts better.

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Exploring Rectangles, Rhombuses, and Squares in Honors Geometry

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  1. Honors Geometry Section 4.5 (2)Rectangles, Rhombuses & Squares

  2. oh my!

  3. A rectangleis a parallelogram with four right angles.

  4. Since a rectangle is a parallelogram, a rectangle will have all the properties of a parallelogram.

  5. Recall the properties of a parallelogram:

  6. Theorem4.5.9In a rectangle the diagonals are congruent.

  7. Examples: Consider rect. LOSI.

  8. A rhombusis a parallelogram with four congruent sides.Any rhombus will also have the properties of a parallelogram listed above.

  9. Theorem 4.5.8In a rhombus, the diagonals are perpendicular.

  10. Theorem 4.5.XIn a rhombus, each diagonal bisects a pair of opposite angles.

  11. Examples: Consider rhombus BSRE.

  12. Examples: Consider rhombus BSRE.

  13. A squareis a parallelogram with four right angles and four congruent sides.

  14. A square will have all the properties of the parallelogram, rectangle and rhombus.

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