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Chapter 6 Quadrilaterals Thompson

Chapter 6 Quadrilaterals Thompson. Special Quadrilaterals. Kite – two pairs of adjacent sides are congruent and no opposite sides are congruent. Rectangle – four right angles. Trapezoid – Exactly one pair of parallel sides Isosceles Trapezoid – the nonparallel sides are congruent.

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Chapter 6 Quadrilaterals Thompson

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  1. Chapter 6 • Quadrilaterals • Thompson

  2. Special Quadrilaterals • Kite – two pairs of adjacent sides are congruent and no opposite sides are congruent • Rectangle – four right angles • Trapezoid – Exactly one pair of parallel sides • Isosceles Trapezoid – the nonparallel sides are congruent. • Rhombus – four congruent sides • Square – four congruent sides and four congruent angles • Parallelogram – both pairs of opposite sides are parallel

  3. Classifying a Quadrilateral • Judging by appearance, classify ABCD in as many ways as possible. Quadrilateral and Trapezoid

  4. Relationships Among Special Quadrilaterals Quadrilateral Two pairs of parallel sides No parallel sides One pair of parallel sides Parallelogram Kite Trapezoid Rhombus Rectangle Isosceles Trapezoid Square

  5. Using the Properties of Special Quadrilaterals • In parallelogram RSTU, mÐR = 2x – 10 and mÐ S = 3x + 50. Find x.

  6. Closing . . . • ABCD is a square. Which classifications from this lesson apply to a square? Which do not apply? A square is: quadrilateral, parallelogram, rectangle, rhombus A square is not: trapezoid, kite

  7. Classifying Quadrilaterals

  8. Directions: • When the slide appears say the best name for the quadrilateral aloud. • Try to beat the computer by saying the answer before the computer in 4 seconds.

  9. Best Name:

  10. Best Name: Isosceles Trapezoid

  11. Best Name:

  12. Best Name: Square • This quadrilateral is also: • a rectangle • a rhombus • a parallelogram

  13. Best Name:

  14. Best Name: Quadrilateral

  15. Best Name:

  16. Best Name: Rhombus • This quadrilateral is also: • a parallelogram

  17. Best Name:

  18. Best Name: Quadrilateral

  19. Best Name:

  20. Best Name: Rectangle • This quadrilateral is also: • a parallelogram

  21. Best Name:

  22. Best Name: Isosceles Trapezoid

  23. Best Name:

  24. Rhombus Best Name: • This quadrilateral is also: • a parallelogram

  25. Best Name:

  26. Best Name: Parallelogram

  27. Best Name:

  28. Best Name: Trapezoid

  29. Best Name:

  30. Best Name: Quadrilateral

  31. Best Name:

  32. Best Name: Parallelogram

  33. Best Name:

  34. Best Name: Trapezoid

  35. Best Name:

  36. Best Name: Rectangle • This quadrilateral is also: • a parallelogram

  37. Best Name:

  38. Best Name: Rhombus • This quadrilateral is also: • a parallelogram

  39. Best Name:

  40. Best Name: Square • This quadrilateral is also: • a rectangle • a rhombus • a parallelogram

  41. Best Name:

  42. 2nd Stellation Of Icosododecahedron

  43. Game Over!

  44. Classwork • Page 290 • #’s 1-12, 19, 22, 23, 29-34, 37-42, 55

  45. Properties of Parallelograms Lesson 6-2

  46. Key to remembering these! • We’re going to be learning a lot of similar looking theorems. • Draw a few pictures to see what happens.

  47. Thm 6-1 • Opposite sides of a parallelogram are congruent. • Other Properties of Parallelograms: • Opposite sides are parallel • Consecutive angles are supplementary

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