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LINES AND ANGLES

LINES AND ANGLES. DRAW A LINE. CAN YOU DRAW A LINE SEGMENT. DIFFERENTIATE BETWEEN A LINE AND LINE SEGMENT. I AM MADE UP OF POINTS. I HAVE TWO END POINTS. I HAVE DEFINETE LENGTH. I AM MADE UP POINTS . I HAVE NO END POINTS, I EXTENDED INDEFINETLY ON BOTH SIDES. LINE. LINE SEGMENT.

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LINES AND ANGLES

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  1. LINES AND ANGLES

  2. DRAW A LINE CAN YOU DRAW A LINE SEGMENT

  3. DIFFERENTIATE BETWEEN A LINE AND LINE SEGMENT I AM MADE UP OF POINTS. I HAVE TWO END POINTS. I HAVE DEFINETE LENGTH I AM MADE UP POINTS . I HAVE NO END POINTS, I EXTENDED INDEFINETLY ON BOTH SIDES LINE LINE SEGMENT

  4. ANGLES TWO RAYS WITH A COMMON END POINTS FORM AN ANGLIE TWO RAYS ARE THE ARMS OF THE ANGLE. COMMON ENDPOINT IS THE VERTEX OF THE ANGLE

  5. B A A A B C B B C A C C Types Of Angles There are four main types of angles. Right angle Acute angle Obtuse angle Straight angle

  6. Acute angle: An angle whose measure is less than 90 degrees. Acute Angle

  7. Examples Of Acute Angle

  8. Right angle: An angle whose measure is 90 degrees. Right Angle

  9. Examples Of Right Angle

  10. Obtuse angle: An angle whose measure is greater than 90 degrees. Obtuse Angle

  11. Examples Of Obtuse Angle

  12. Straight angle: An angle whose measure is 180 degrees. Straight Angle

  13. Examples Of Straight Angle

  14. Pairs Of Angles : Types • Adjacent angles • Vertically opposite angles • Complimentary angles • Supplementaryangles • Linear pairs of angles

  15. A D A C D Common ray B E F B C Common vertex Adjacent Angles Two angles that have acommon vertexand acommon rayare called adjacent angles. Adjacent AnglesABDand DBC ABCand DEF are not adjacent angles Adjacent angles do not overlap each other.

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

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

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

  19. A D 600 300 B E C F Complimentary Angles If the sum of two angles is 900, then they are called complimentary angles. ÐABCandÐDEFare complimentary because ÐABC + ÐDEF 600 + 300 = 900

  20. D p 700 300 Q E R F Contd…. If the sum of two angles is more than 900 or less than 900, then they not complimentary angles. ÐDEFandÐPQRare not complimentary because ÐDEF+ÐPQR 700 + 300 = 1000

  21. A P 1000 800 B Q R C Supplementary Angles If the sum of two angles is 1800 then they are called supplementary angles. ÐPQRandÐABCare supplementary, because ÐPQR + ÐABC 1000 + 800 = 1800

  22. D A 1100 800 E B F C Contd…. If the sum of two angles ismore than 1800orless than 1800, then they arenot supplementary angles. ÐDEFandÐPQRarenot supplementarybecause ÐABC + ÐDEF 1100 + 800 = 1900

  23. A 1200 600 D C Linear Pair Of Angles Two adjacent supplementary angles are called linear pair of angles. P ÐAPC + ÐAPD 600 + 1200 = 1800

  24. WHEN TWO LINES INTERSECT THEY MAKE TWO PAIRS OF VERTICALLY OPPOSITE ANGLES 75º 105º 105º 75º VERTICALLY OPPOSITE ANGLES ARE OPPOSITE TO ONE ANOTHER VERTICALLY OPPOSITE ANGLES ARE EQUAL

  25. C A P D B Name the vertically opposite angles and adjacent angles in the given figure: Vertically opposite angles: ÐAPC and ÐBPD Adjacent angles:ÐAPC and ÐCPD ÐAPB and ÐCPD ÐAPB and ÐBPD

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

  27. #1 120º 60º

  28. #1 120º 60º Supplementary Angles

  29. #2 60º 30º

  30. #2 60º 30º Complementary Angles

  31. #3 75º 75º

  32. #3 Vertical Angles 75º 75º

  33. #4 60º 40º

  34. #4 60º 40º None of the above

  35. #5 60º 60º

  36. #5 60º 60º Vertical Angles

  37. #6 135º 45º

  38. #6 135º 45º Supplementary Angles

  39. #7 25º 65º

  40. #7 25º 65º Complementary Angles

  41. #8 90º 50º

  42. #8 90º 50º None of the above

  43. Directions:Determine the missing angle.

  44. #1 ?º 45º

  45. #1 135º 45º

  46. #2 ?º 65º

  47. #2 25º 65º

  48. #3 ?º 35º

  49. #3 35º 35º

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