1 / 55

Adjacent, Vertical, Supplementary, and Complementary Angles Linear Pair, Perpendicular Lines

Adjacent, Vertical, Supplementary, and Complementary Angles Linear Pair, Perpendicular Lines. Adjacent angles are “side by side” and share a common ray. 15 º. 45 º. These are examples of adjacent angles. 45 º. 80 º. 35 º. 55 º. 130 º. 50 º. 85 º. 20 º. These angles are NOT adjacent.

vernados-karan
Download Presentation

Adjacent, Vertical, Supplementary, and Complementary Angles Linear Pair, Perpendicular Lines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Adjacent, Vertical, Supplementary, and Complementary AnglesLinear Pair, Perpendicular Lines

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

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

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

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

  6. Vertical angles are opposite from one another. 75º 105º 105º 75º

  7. Vertical angles are opposite from one another. 75º 105º 105º 75º

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

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

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

  11. Linear Pair: a pair of adjacent angles that measures 180°

  12. Perpendicular Lines: intersect to form four right angles

  13. Practice Time!

  14. PracticeDirections: Identify each pair of angles as vertical, supplementary, complementary, linear pairor none of the above.

  15. #1 120º 60º

  16. #1 120º 60º Supplementary Angles Linear Pair

  17. #2 60º 30º

  18. #2 60º 30º Complementary Angles

  19. #3 75º 75º

  20. #3 Vertical Angles 75º 75º

  21. #4 60º 40º

  22. #4 60º 40º None of the above

  23. #5 60º 60º

  24. #5 60º 60º Vertical Angles

  25. #6 135º 45º

  26. #6 135º 45º Supplementary Angles Linear Pair

  27. #7 25º 65º

  28. #7 25º 65º Complementary Angles

  29. #8 90º 50º

  30. #8 90º 50º None of the above

  31. Directions:Determine the missing angle.

  32. #1 ?º 45º

  33. #1 135º 45º

  34. #2 ?º 65º

  35. #2 25º 65º

  36. #3 ?º 35º

  37. #3 35º 35º

  38. #4 ?º 50º

  39. #4 130º 50º

  40. #5 ?º 140º

  41. #5 140º 140º

  42. #6 ?º 40º

  43. #6 50º 40º

  44. Angle Relationship: Investigation 1 The Linear Pair Conjecture • Materials: paper, pencil, 2 sheets of patty paper & protractor • Draw line PQ and place a point R between P and Q. • Choose another point S not on line PQ and draw ray RS. You have just create a linear pair of angles. • Place the “zero edge” of your protractor along line PQ. What do you notice about the sum of the measures of the linear pair of angles? • Compare your results with those of your class. Does everyone make the same observation? • What is the Linear Pair Conjecture? • Example:

  45. Angle Relationship: Investigation 2 Vertical Angles Conjectures • Materials: paper, pencil, 2 sheets of patty paper & protractor • Fold patty paper, make a crease, outline the crease, place points A & B on the line. • Fold patty paper again so that you form intersecting lines, make a crease, outline the crease, place points D & E on the line and label the intersection C. (Make sure C is between A & B) • Which angles are vertical angles? • Fold the paper again through point C so that <ACD lies on top of <ECB. What do you notice? • What do you notice about their measures?

  46. Angle Relationship Activity p. 54 • Your Turn… • Fold through C so that <ACE lies on DCB. What do you notice? • Compare your results with the class. • What is the Vertical Angles Conjecture? • Use a protractor to measure each angles. Write the measures on drawing. • Name the linear pairs. What do you notice about their measures? • Repeat this activity with another piece of patty paper. What do you notice?

  47. Practice: complementary and supplementary • Let’s Race! • Find a partner, get a deck of cards, and play “Say it faster!” • Whoever say the complement/supplement faster gets the pair of cards. • The person with the most cards, WINS! • 10, Jacks, Queens, Kings, & Aces = 1 • Every other find the complement or supplement.

  48. Practice: Adjacent Vertical • Complete Angles Relationships • Complete Angle Addition • Quiz will be tomorrow • Study guide tomorrow • Test will be on Friday Complementary Supplementary Angle Addition Postulate Linear Pair

  49. Warm-Up: Identify each pair of angles Use: adjacent, vertical, complementary, supplementary, and/or linear pair • 1. <1 & <2 • 2. <1 & <4 2 3 1 • 3. <4 & <5 5 4 • 4. <3 & <4

  50. Warm-Up: Find x and each measure • 1. (5x+ 16)º (6x + 8)º 2. (5x + 18)º (7x + 12)º • 3. (10x + 35)º (13x + 30)º 4. Ray BC is an angle bisector. Find <CBD & <ABC. A 63º B C D

More Related