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Geometric Shapes Lesson 1

Geometric Shapes Lesson 1. Triangles Triangles Triangles Let’s Discover: Triangle Cut-Apart. What do you know about triangles?. Characteristics of triangle “angles”: The sum of the angles in any size triangle is equal to 180 0. 90 + 35 + 55 = 180. 55. 90. 35. Example 1:. 80. 45. x.

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Geometric Shapes Lesson 1

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  1. Geometric Shapes Lesson 1

  2. Triangles Triangles Triangles Let’s Discover: Triangle Cut-Apart

  3. What do you know about triangles?

  4. Characteristics of triangle “angles”: The sum of the angles in any size triangle is equal to 1800. 90 + 35 + 55 = 180 55 90 35

  5. Example 1: 80 45 x

  6. Example 2:

  7. Now try these:

  8. In triangle ABC, m ∠ CAB = 57 and m ∠ ABC = 104. Find m ∠ ACB.

  9. EXIT CARD: If you have angles 30 and 80 degrees, what is the measure of the third angle?

  10. Lesson 2

  11. Angles Angles Angles Brainpop Video “Types of Triangles”

  12. Characteristics of triangle “sides”: The sum of the two smaller sides must be greater than the length of the third side.

  13. Example 1: Can the following lengths make a triangle? 4 cm, 8 cm, 14 cm 4 + 8 = 12 12 ‹ 14 so no these sides cannot make a triangle.

  14. Example 2: Can the following lengths make a triangle? 5 in, 10 in, 13 in 5 + 10 = 15 15 › 13 so these sides do make a triangle.

  15. Does the following lengths form a triangle? • 7 ft, 19 ft, 15 ft • 24 mm, 20 mm, 30 mm • 15 in, 25 in, 45 in • 4 cm, 12 cm, 18 cm • 1 yd, 10 yd, 20 yd

  16. Exit Card: 3-2-1

  17. Lesson 3 http://www.youtube.com/watch?v=GO20ZgUzlc0

  18. Adjacent, Vertical, Supplementary, and Complementary Angles

  19. Adjacent angles are “side by side” and share a common ray. 15º 45º

  20. These are examples of adjacent angles. 45º 80º 35º 55º 130º 50º 85º 20º

  21. These angles are NOT adjacent. 100º 50º 35º 35º 55º 45º

  22. When 2 lines intersect, they make vertical angles. 75º 105º 105º 75º

  23. Vertical angles are opposite one another. 75º 105º 105º 75º

  24. Vertical angles are opposite one another. 75º 105º 105º 75º

  25. Vertical angles are congruent (equal). 150º 30º 150º 30º

  26. Supplementary angles add up to 180º. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Anglesbut not Adjacent

  27. Complementary angles add up to 90º. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Anglesbut not Adjacent

  28. Practice Time!

  29. Directions: Identify each pair of angles as vertical, supplementary, complementary, or none of the above.

  30. #1 120º 60º

  31. #1 120º 60º Supplementary Angles

  32. #2 60º 30º

  33. #2 60º 30º Complementary Angles

  34. #3 75º 75º

  35. #3 Vertical Angles 75º 75º

  36. #4 60º 40º

  37. #4 60º 40º None of the above

  38. #5 60º 60º

  39. #5 60º 60º Vertical Angles

  40. #6 135º 45º

  41. #6 135º 45º Supplementary Angles

  42. #7 25º 65º

  43. #7 25º 65º Complementary Angles

  44. #8 90º 50º

  45. #8 90º 50º None of the above

  46. Directions:Determine the missing angle.

  47. #1 ?º 45º

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