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8.4 Rhombuses, Rectangles, & Squares

8.4 Rhombuses, Rectangles, & Squares. Warm Up. A Rhombus is…. A parallelogram With all 4 sides congruent. A Rectangle is…. A parallelogram with 4 right angles . A Square is…. A parallelogram with… 4 congruent sides … And 4 congruent angles.

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8.4 Rhombuses, Rectangles, & Squares

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  1. 8.4 Rhombuses, Rectangles, & Squares

  2. Warm Up

  3. A Rhombus is… • A parallelogram • With all 4 sides congruent.

  4. A Rectangle is… • A parallelogram with • 4 right angles.

  5. A Square is…. • A parallelogram with… • 4 congruent sides… • And 4 congruent angles.

  6. Explore some of the properties and attributes of Rhombuses, Rectangles & Squares… • Classzone.com for more examples

  7. The diagram shows the relationships between parallelograms, rhombuses, rectangles, and squares. • All quadrilaterals • All Parallelograms • All Rhombuses • All Rectangles • All Squares

  8. Corollaries about Special Quadrilaterals (p 348) • Rhombus : A quadrilateral is a rhombus iffit has four congruent sides. • Rectangle: A quadrilateral is a rectangle iff it has four right angles. • Square: A quadrilateral is a square iff it is a rhombus and a rectangle.

  9. Theorems (p 349) • Theorem 6.11: A parallelogram is a rhombusiff its diagonals are perpendicular. • Theorem 6.12: A parallelogram is a rhombusiffeach diagonal bisects a pair of opposite angles. • Theorem 6.13: A parallelogram is a rectangleiff its diagonals are congruent.

  10. A Rhombus is equilateral. • The Diagonals of a rectangle are perpendicular. • The opposite angles of a rhombus are supplementary. • A square is a rectangle. • The diagonals of a rectangle bisect each other. • The consecutive angles of a square are supplementary.

  11. Quadrilateral ABCD is a Rhombus

  12. Classwork/Homework

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