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Chapter 2

Chapter 2. Points, Lines, and Angles. Goal . Tell type of angle. Label angles. Measure angles. . Review . A? B? C?. Check . a ) ray b) line segment c) line . angle. a figure formed by the intersection of two rays. angle. Rays are called sides.

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Chapter 2

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  1. Chapter 2 Points, Lines, and Angles

  2. Goal • Tell type of angle. • Label angles. • Measure angles.

  3. Review

  4. A? B? C?

  5. Check • a ) ray • b) line segment • c) line

  6. angle • a figure • formed by the intersection • of two rays

  7. angle • Rays are called sides. • Point where sides intersect is called a vertex.

  8. angle • examples non-examples

  9. Naming angles • Method 1 • angle x • angle y • Method 2 • angle ABC • angle CBA

  10. Degrees

  11. List everything you can tell about this angle.

  12. -Angle – 2 rays that intersect -Sides – rays - Point where rays intersect – vertex - Angle ABC or CBA -Measured in degrees - 60 degrees

  13. Types of Angles

  14. Right Angle Right angle • an angle • whose measure • is 90 degrees

  15. rightangles • not rightangles

  16. Acute angle • acute angle • an angle • whose measure • is less than 90 degrees

  17. acute angles • not acute angles

  18. obtuse angle • obtuse angle • an angle • whose measure is • greater than 90 degrees but • less than 180 degrees

  19. Why are these obtuse angles? Obtuse angle

  20. Obtuse Angles • Not Obtuse

  21. What type of angle? Why?

  22. Why type of angle? A? B? C? D? E? F?

  23. acute • right angle • obtuse • acute • right angle • obtuse

  24. straight angle straight angle • an angle • whose measure is • 180 degrees

  25. straightangles • not straight angles

  26. Page 28 number 1 - 10 • measure of angle ARF 180 degrees straight angle • measure of angle CRF 120 degrees obtuse 3. measure of angle BRF 155 degrees obtuse

  27. adjacent angles adjacent angle • two angles • have same vertex • share one ray

  28. List adjacent angles • Adjacent angles

  29. List adjacent angles • Adjacent angles

  30. adjacent angles • not adjacent angles

  31. Page 29 • 1.Angle CDB is adjacent to angle _____ • 2. Angle TUV is adjacent to angle ____ • 3. Angle SRP is adjacent to angle ____

  32. vertical angles Vertical angles • When two lines intersect • two pairs of vertical angles are formed

  33. vertical angles Vertical angles are NOT adjacent. Vertical angles have the same measure.

  34. Which angles are vertical?

  35. Which angles are adjacent?

  36. Page 30 Vertical angles 1. angle YPV and angle ____ • angle YPV and angle RPS • angle QPR and angle _____ • angle QPR and angle VPT

  37. complementary angles • two angles • sum of measures • is 90 degrees

  38. complementary angles What angles are complementary? Why?

  39. complementary angles Are these angles complementary? Why or Why not?

  40. complementary angles • not complementary angles

  41. Supplementary angles • two angles • sum of measures • is 180 degrees

  42. Supplementary angles • two angles • sum of measures • is 180 degrees

  43. Why are figure 1 and figure 2 both examples of supplementary angles?

  44. supplementary angles • not supplementaryangles

  45. Review of Angles

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