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Geometry 6.6

Geometry 6.6. Properties of Kites and Trapezoids. Learning Targets. Students should be able to… Use properties of kites to solve problems. Use properties of trapezoids to solve problems. Warm-up. Warm-up Day 2. Homework Check. Homework Check. Homework Check.

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Geometry 6.6

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  1. Geometry 6.6 Properties of Kites and Trapezoids

  2. Learning Targets • Students should be able to… • Use properties of kites to solve problems. • Use properties of trapezoids to solve problems.

  3. Warm-up

  4. Warm-up Day 2

  5. Homework Check

  6. Homework Check

  7. Homework Check

  8. Vocabulary for Trapezoids and Kites

  9. Vocabulary D C A B

  10. Vocabulary D C A B C B A D

  11. Vocabulary D C A B C B A D

  12. Vocabulary C B A D

  13. Vocabulary C B A D

  14. Vocabulary C B A D C B A D

  15. Vocabulary C B A D C B A D C B X Y A D

  16. TRAPEZOIDS

  17. 6.6 Notes

  18. Isosceles Trapezoid

  19. What do we know about Trapezoids?

  20. What do we know about Trapezoids?

  21. What do we know about Trapezoids?

  22. Practice Problems

  23. Practice Problems

  24. Practice Problems

  25. Practice Problems

  26. Midsegment Trapezoid

  27. Midsegment Practice

  28. Midsegment Practice

  29. Finding the Side Length Given the Midsegment

  30. Finding the Side Length Given the Midsegment

  31. Finding the Side Length Given the Midsegment

  32. Kites

  33. 6.6 Day 2 Notes • Kite – a quadrilateral with exactly two pairs of congruent consecutive sides.

  34. Properties of Kites • Theorem 6-6-1 • If a quadrilateral is a kite, then its diagonals are perpendicular.

  35. Properties of Kites • Theorem 6-6-2 • If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

  36. Pythagorean Theorem a and b are always the sides touching the right angle! a and b are called the legs c is always the side opposite the right angle! c is called the hypotenuse

  37. Practicing the Pythagorean Theorem

  38. Practicing the Pythagorean Theorem

  39. Applying the Pythagorean Theorem to Kites

  40. Applying the Pythagorean Theorem to Kites H

  41. Quadratic Summary Sheet Time Trapezoids 1. One pair of parallel sides 2. If isosceles, base angles are congruent 3. If isosceles, diagonals are congruent

  42. Quadratic Summary Sheet Time Kite 1. Two pairs of consecutive congruent sides 2. Diagonals are perpendicular 3. One pair of opposite angles are congruent

  43. Venn Diagram Trapezoids and Kites would be outside the box!!

  44. Tree Diagram • Can you fill in the Tree Diagram?? trapezoid parallelogram kite Isosceles trapezoid rhombus rectangle square

  45. Kite Practice Problems

  46. Kite Practice Problems

  47. Trapezoid Review

  48. Trapezoid Review

  49. Trapezoid Review

  50. Homework Time • This homework will cover all of 6.6 (trapezoids and kites) Page 423 # 4 – 12, 14 – 18

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