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max1409

  • one year ago

How can the Angle-Angle Similarity Postulate be used to prove the two triangles below are similar? Explain your answer using complete sentences, and provide evidence to support your claims.

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  1. max1409
    • one year ago
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    @nincompoop

  2. max1409
    • one year ago
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  3. max1409
    • one year ago
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    @nincompoop ?

  4. nincompoop
    • one year ago
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    If there are two pairs of corresponding angles and a pair of corresponding opposite sides that are equal in measure, then the triangles are congruent. http://www.mathopenref.com/congruentaas.html

  5. max1409
    • one year ago
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    k

  6. max1409
    • one year ago
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    how do i find out angle b and c

  7. max1409
    • one year ago
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    ?

  8. max1409
    • one year ago
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    so c is 77

  9. max1409
    • one year ago
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    and b is 13?

  10. max1409
    • one year ago
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    i am confused someone please help

  11. max1409
    • one year ago
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    @welshfella do you get it ?

  12. welshfella
    • one year ago
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    first work out the measure of angle B'. Can you do that?

  13. max1409
    • one year ago
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    all angles added up must equal 160 right?

  14. max1409
    • one year ago
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    ?

  15. welshfella
    • one year ago
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    yes that is what you use to fin B'

  16. max1409
    • one year ago
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    b is 13 and c is 77

  17. max1409
    • one year ago
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    am i right?

  18. welshfella
    • one year ago
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    ?? B' = 180 - 50 - 97 = ?

  19. max1409
    • one year ago
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    wait do angle need to add up to 180 or 160?

  20. welshfella
    • one year ago
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    = 180 - 147

  21. welshfella
    • one year ago
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    180

  22. max1409
    • one year ago
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    33

  23. max1409
    • one year ago
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    b is 33

  24. max1409
    • one year ago
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    c is 97

  25. max1409
    • one year ago
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    so what do i do next

  26. max1409
    • one year ago
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    ?

  27. max1409
    • one year ago
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    they have the same sides

  28. welshfella
    • one year ago
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    right So we have the 2 corresponding base angles in each triangle equal. that is m< A = m<A' and m<B = m< B'. This proves that the 2 triangles are similar.

  29. max1409
    • one year ago
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    k

  30. max1409
    • one year ago
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    so what should i write?

  31. welshfella
    • one year ago
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    I guess that is the Angle Angle Similarity Postulate mentioned in the question. I never heard of that in th UK.

  32. welshfella
    • one year ago
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    well those 2 angles being equal satisfies the postulate. Therefore the triangles are similar.

  33. max1409
    • one year ago
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    Corresponding angles are congruent. When the corresponding angles of two or more triangles are congruent, the triangles are similar. This is known as the Angle-Angle Similarity Postulate. Similar triangles are marked with a ~ symbol, so ΔABC ~ ΔA'B'C'. The third angles are congruent, too. Why do you think mathematicians don't call it the Angle-Angle-Angle Similarity Postulate? If two angles of a triangle are equal to two angles of another triangle, the third angles must be congruent because all triangles have a total angle measure of 180°. So putting another "Angle" in the name is unnecessary.

  34. max1409
    • one year ago
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    so how should i write my answer out?

  35. welshfella
    • one year ago
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    Ok that makes sense.

  36. max1409
    • one year ago
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    what should i write for my answer

  37. max1409
    • one year ago
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    ?

  38. welshfella
    • one year ago
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    Fisrt show how you worked out that angle B' = 33. Then say angle A is congruent to angle A' because they are both 50 degrees similar thing for angle B and B' Thus triangles ABC and A'B'C' are similar because they satisfy the postulate (write that in full). And that's it.

  39. max1409
    • one year ago
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    kthx

  40. welshfella
    • one year ago
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    yw

  41. max1409
    • one year ago
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    i will write it and you proof read ok?

  42. welshfella
    • one year ago
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    ok

  43. max1409
    • one year ago
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    good?

  44. welshfella
    • one year ago
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    there's no need to find the value of angle C -, just B'

  45. welshfella
    • one year ago
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    no need to mention C and C' either And write the postulate in full.

  46. max1409
    • one year ago
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    what do you mean write the the post;ate in full

  47. welshfella
    • one year ago
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    If 2 angles are congruent then the 3rd must be congruent also

  48. welshfella
    • one year ago
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    Angle-Angle etc

  49. max1409
    • one year ago
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    docent the c angle make is sound better

  50. welshfella
    • one year ago
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    in the fist line angle C = 97 not 9

  51. max1409
    • one year ago
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    lol typo thx

  52. max1409
    • one year ago
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    better ?

  53. welshfella
    • one year ago
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    yea OK . Leave the statements about angles C and C' in if you want to though they are not necessary. If you leave them in then leave the last sentence out.

  54. max1409
    • one year ago
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    k

  55. welshfella
    • one year ago
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    I mean the line starting If 2 angles...

  56. welshfella
    • one year ago
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    Looks good.

  57. max1409
    • one year ago
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    i just noticed i have to use Angle-Angle Similarity Postulate to prove this

  58. max1409
    • one year ago
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    perfect right?

  59. max1409
    • one year ago
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    ?

  60. welshfella
    • one year ago
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    You have . Oh one thing Instead of 'Which makes' write 'Which proves ' (in the third line)

  61. max1409
    • one year ago
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    perfect?

  62. welshfella
    • one year ago
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    yes

  63. max1409
    • one year ago
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    just curious are you going to be on for a long time?

  64. welshfella
    • one year ago
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    gtg its getting late over here now

  65. max1409
    • one year ago
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    ok thx

  66. welshfella
    • one year ago
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    and i have an early start in the morning.

  67. welshfella
    • one year ago
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    yw

  68. max1409
    • one year ago
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    good luck i forgot school starts tommorw lol

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