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Lesson 5.10 Page 317

Lesson 5.10 Page 317. Properties of Rhombuses, Rectangles, and Squares. What is a rhombus?. A rhombus is a parallelogram with four congruent sides . Is a square a rhombus? YES When is a rhombus not a square? When the angles are not all 90 ⁰. What is a rectangle?.

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Lesson 5.10 Page 317

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  1. Lesson 5.10Page 317 Properties of Rhombuses, Rectangles, and Squares

  2. What is a rhombus? • A rhombus is a parallelogram with four congruent sides. • Is a square a rhombus? YES • When is a rhombus not a square? When the angles are not all 90⁰.

  3. What is a rectangle? • A rectangle is a parallelogram with four right angles. • Is a square a rectangle? YES • When is a rectangle not a square? When all sides are not congruent.

  4. What if you combined the two? Rhombus Rectangle Equilateral Equiangular Square Regular

  5. Vocabulary: A rectangle is a parallelogram with four right angles. Another characteristic of a rectangle is it has congruent diagonals.

  6. A rhombus is a parallelogram with four congruent sides. Other characteristics of a rhombus are: • Perpendicular diagonals • Diagonals bisect opposite angles

  7. A square is a parallelogram that has all of the same characteristics of a rectangle and a rhombus. These characteristics are: • 4 right angles • 4 congruent sides • congruent diagonals • perpendicular diagonals • diagonals that bisect opposite angles

  8. Example: • For a rhombus ABCD, decide whether the statement is always, sometimes, or never true. AB > BC • A rhombus is a parallelogram with four congruent sides. B A So AB = BC and the statement is never true First make a drawing and label it. D C

  9. Homework Assignment: Page 319 # 1-27 odd

  10. Parallelogram Rhombus Rectangle Square

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