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Geometric Shapes Lesson 1

Geometric Shapes Lesson 1. angles angles angles 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. angles angles angles 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. triangles triangles triangles 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. Let’s have some fun!! IXL - Identify complementary, supplementary, vertical, adjacent, and congruent angles (8th grade math practice)

  19. Exit Card: One minute talk about differences in angle relationships with a partner.

  20. Lesson 4 Supplementary And Complementary

  21. How do you use supplementary angles to find unknown angle measures? For Example What is the measure angle x in the figure below? 110o xo

  22. A set of stairs inclines at a 110o angle. A support beam is going to be constructed under the stairs. What angle measure does the support need to have? Any interior ray from a point on a straight angle creates two supplementary angles. xo 110o

  23. Supplementary angles add to 180o. 110o xo 110o + x = 180o -110o -110o x = 70o

  24. Two angles are supplementary. If one angle measure is 82o, what is the measure of the second angle? x + 82o = 180o - 82o -82o x = 98o

  25. Find the measure of angle x below. xo 158o

  26. Andy measured two angles. One angle was 153o and one angle was 47o. Andy said that the two angles were supplemental. Is Andy correct? Explain your reasoning.

  27. How do you use complementary angles to find unknown angle measures? For example What is the measure of angle x? xo 15o

  28. A right angle measures exactly 90o. 90o

  29. Two angles are complementary. If the measure of one angle is 43o, what is the measure of the second angle? 43o + x = 90o x -43o -43o 43o x = 47o

  30. Two angles are complementary. If one angle measures 17o, what is the measure of the second angle?

  31. Two angles are complementary. One angle measures xo and the second angle measures (x + 16)o. Find the measures of the two angles.

  32. Two angles are complementary. One angle measures 22o. What is the measure of the second angle? The two angles below are complementary. What is the measure of the missing angle? xo 63o

  33. Exit Card: What is the difference in supplementary and complementary angles?

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