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Bellwork

Clickers. Bellwork. A. B. Solve for x. 5x-32. E. 2x+10. D. C. G. H. x 2. x 2 -2x. F. E. Bellwork Solution. A. B. Solve for x. 5x-32. E. 2x+10. D. C. Bellwork Solution. G. H. Solve for x. x 2. x 2 -2x. F. E. Section 8.4.

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Bellwork

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  1. Clickers Bellwork A B • Solve for x 5x-32 E 2x+10 D C G H x2 x2-2x F E

  2. Bellwork Solution A B • Solve for x 5x-32 E 2x+10 D C

  3. Bellwork Solution G H • Solve for x x2 x2-2x F E

  4. Section 8.4 Properties of Rhombuses, Rectangles and Squares

  5. The Concept • Today we’re going to extend our understanding of quadrilaterals to include three special kinds of quadrilaterals • We’ve seen these three before, but not formally

  6. Corollaries Why are these corollaries and not their own theorems? Rhombus Corollary A quadrilateral is a rhombus if and only if it has four congruent sides Rectangle Corollary A quadrilateral is a rectangle if and only if it has four right angles Square Corollary A quadrilateral is a square if and only if it is a rhombus and a rectangle

  7. Intersections Rhombuses Rectangle Square Axis of symmetry Vertex

  8. Theorems Theorem 8.11: A parallelogram is a rhombus if and only if its diagonals are perpendicular Theorem 8.12: A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles

  9. Theorems Theorem 8.13: A parallelogram is a rectangle if and only if its diagonals are congruent

  10. On your own What kind of quadrilateral is described below? Not Equilateral Diagonals bisect each other into 4 congruent pieces Axis of symmetry Vertex

  11. On your own What kind of quadrilateral is described below? Opposite angles are congruent Axis of symmetry Vertex

  12. On your own What kind of quadrilateral is described below? Equilateral & Equiangular Axis of symmetry Vertex

  13. On your own What kind of quadrilateral is described below? Equilateral, diagonals are perpendicular Axis of symmetry Vertex

  14. Homework • 8.4 • 1, 2-16 even, 17, 19-29, 33-48 mult 3

  15. On your own Answer to #8

  16. On your own Answer to #17 Axis of symmetry Vertex

  17. On your own Answer to #24 Axis of symmetry Vertex

  18. On your own What polygon do we see? Axis of symmetry Vertex

  19. On your own What polygon do we see? Axis of symmetry Vertex

  20. Most Important Points • Rhombuses • Rectangles • Squares

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