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anonymous

  • one year ago

Given: Quadrilateral ABCD is a parallelogram Prove AB is congruent to CD and BC is congruent to AD Edit: got step 7 guys, its Triangle ABC is congruent to CDA (C, if i remember correctly) Will be back with step 2 answer. EDIT 2: Got it guys step two is ABllCD and BCllAD and the reason is definition of a parrelelogram i hope tihs helps you'll prolly see this when its a year old lol bet money

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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  4. anonymous
    • one year ago
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    the obligatory will fan will medal

  5. anonymous
    • one year ago
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    @misssunshinexxoxo

  6. anonymous
    • one year ago
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    help pls

  7. anonymous
    • one year ago
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    @dan815 how much do your services cost?

  8. dan815
    • one year ago
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    okay there are some basic triangle theorems you have to know 3 main ones are AAS, SSS, and SAS theorems that if satisfied means the 2 triangles are congruent

  9. anonymous
    • one year ago
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    All righty

  10. dan815
    • one year ago
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    the next is parallel lines and which angles are equal lets start there!

  11. anonymous
    • one year ago
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    ok

  12. dan815
    • one year ago
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    Lets first draw 2 parallel lines and see if we can find something about an intersection of a line through them

  13. dan815
    • one year ago
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    |dw:1435329917728:dw|

  14. dan815
    • one year ago
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    |dw:1435329932545:dw|

  15. anonymous
    • one year ago
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    ok

  16. dan815
    • one year ago
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    oky we know that angle 1 = angle 2 , as these are opposite angles and opposite angles have ot be equal

  17. dan815
    • one year ago
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    we can see this very easily as angles along a straight line add up to 180

  18. anonymous
    • one year ago
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    yes they do

  19. anonymous
    • one year ago
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    supplementary, right?

  20. dan815
    • one year ago
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    |dw:1435330043205:dw|

  21. dan815
    • one year ago
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    you see how that angle in between 1 and 2, is 180 - angle 2 or 180 - angle 1

  22. dan815
    • one year ago
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    this means angle 2 and 1 have to be the same

  23. dan815
    • one year ago
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    tell me if you understand that

  24. anonymous
    • one year ago
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    im following so far

  25. dan815
    • one year ago
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    okay now you know why opposite angles are equal, lets move on

  26. dan815
    • one year ago
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    |dw:1435330127812:dw|

  27. dan815
    • one year ago
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    im not sure exactly how to prove that one, but take that as face value its more intuitive, it must be true kinda thing

  28. anonymous
    • one year ago
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    ok

  29. anonymous
    • one year ago
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    lol

  30. dan815
    • one year ago
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    like think about it it angle 3 is not the same as angle 1

  31. dan815
    • one year ago
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    then these lines cannot be parallel right

  32. dan815
    • one year ago
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    beccause somewhere at some point they will intersect and form a triangle

  33. anonymous
    • one year ago
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    correct

  34. dan815
    • one year ago
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    okay so thats all we need to solve your question

  35. dan815
    • one year ago
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    now lets make a parallelogram

  36. dan815
    • one year ago
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    |dw:1435330263015:dw|

  37. dan815
    • one year ago
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    |dw:1435330293860:dw|

  38. dan815
    • one year ago
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    |dw:1435330340749:dw|

  39. dan815
    • one year ago
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    these angles have to be the same here

  40. dan815
    • one year ago
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    from the parallel lines we saw before its like this Z pattern

  41. anonymous
    • one year ago
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    ok

  42. dan815
    • one year ago
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    can you really see that

  43. anonymous
    • one year ago
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    yes i can

  44. dan815
    • one year ago
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    can you tell me what other angles have to be the same from this same idea

  45. anonymous
    • one year ago
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    |dw:1435330489666:dw|

  46. dan815
    • one year ago
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    yep that is right, now what does that mean about the remaining angle

  47. anonymous
    • one year ago
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    to be honest, im not sure.

  48. dan815
    • one year ago
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    okay lets think about it

  49. dan815
    • one year ago
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    all angles in a triangle add upto what

  50. dan815
    • one year ago
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    |dw:1435330606939:dw|

  51. anonymous
    • one year ago
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    ohh 180

  52. anonymous
    • one year ago
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    and since theres 2 in the parrelelogram its 360 degrees

  53. dan815
    • one year ago
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    okay now u see both triangles in there have an angle that is a and angle that is b

  54. dan815
    • one year ago
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    what is the remaining angle?

  55. dan815
    • one year ago
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    the remaining angles have to be equal too... tell me why

  56. anonymous
    • one year ago
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    because of the alternate exterior?

  57. dan815
    • one year ago
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    forget that stuff, think logic

  58. dan815
    • one year ago
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    we know all the angles add upto 180 right

  59. dan815
    • one year ago
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    a+b+the remaining angle is 180

  60. anonymous
    • one year ago
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    yes

  61. dan815
    • one year ago
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    then the same remaining angle must be on the bottom too as there is an a and a b

  62. anonymous
    • one year ago
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    ok

  63. dan815
    • one year ago
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    so we have 3 samme angles and a side that is the same, as the diagonal is shared

  64. dan815
    • one year ago
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    |dw:1435330902779:dw|

  65. dan815
    • one year ago
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    so by AAS rule, these triangles are congruent

  66. anonymous
    • one year ago
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    ok

  67. dan815
    • one year ago
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    okay bye

  68. anonymous
    • one year ago
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    thank you, later on today i will reward you with owl bucks for your torubles.

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