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anonymous

  • one year ago

What coordinate for F would make triangle ABC and triangle DEF congruent?

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    A) (-2,4) B) (-2,3) C) (-3,3) D) (-3,4)

  3. anonymous
    • one year ago
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    i believe that the answer is B , but that is just because i looked at the graph. its like an overlapping reflection, correct? i need help, i need someone to walk me through this . is there like, a formula? the lesson shows me this formula but its not clear on how to use it. \[\sqrt{(y1-y2)^2+ (x1-x2)^2}\]

  4. anonymous
    • one year ago
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    anone wanna assist me please? i wanna learn how to do this myself :(

  5. anonymous
    • one year ago
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    @ParthKohli @pooja195 @Data_LG2

  6. anonymous
    • one year ago
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    @hartnn @nincompoop @Abhisar

  7. anonymous
    • one year ago
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    @misty1212

  8. baru
    • one year ago
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    that formula you have typed out, do you know what it's for?

  9. anonymous
    • one year ago
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    @baru i THINK its to find the distance between two points, the lesson doesnt get detailed in it though :( they just start using it through examples

  10. baru
    • one year ago
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    you are right, its for the distance between two points. for two triangles to be congruent, the sides of the triangles should have equal lengths

  11. baru
    • one year ago
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    if you say triangle ABC congruent to DEF it means AB=DE BC=EF AC=DF

  12. baru
    • one year ago
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    with me so far?

  13. anonymous
    • one year ago
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    yes :)

  14. anonymous
    • one year ago
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    so how would i calculate f using the formula? would i use the distance between BC or Ac to find F or?...

  15. baru
    • one year ago
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    yeah..that would be the right way, but rather than solve for the co-ordinates of F, you are given several options for F, just substitute them and find EF and DF, see which one is equal to BC,AC

  16. anonymous
    • one year ago
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    so i use my options for F? and place them in the formula? im sorry if i dont quite understand, im a slow thinker in the morning :(

  17. baru
    • one year ago
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    yeah, exactly

  18. baru
    • one year ago
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    find the lengths EF and DF for each of the options, compare with the lengths AC and BC

  19. anonymous
    • one year ago
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    but how will i know it is right?

  20. anonymous
    • one year ago
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    @baru

  21. anonymous
    • one year ago
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    oh wait i THINK i understand, if they have the same result as the sides of the congruent triangle thats already there (abs) ?

  22. anonymous
    • one year ago
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    *c

  23. baru
    • one year ago
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    you have to do it for each option. only one option will give you EF=AC and DF=BC (you have to find lengths AC and BC as well)

  24. anonymous
    • one year ago
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    so i go all around? ok so first i find EF=AC right?

  25. baru
    • one year ago
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    first calculate AC and BC and write it down. then find EF for each option, see which one matches the value for AC that you just wrote down

  26. anonymous
    • one year ago
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    ok let me find AC and BC first

  27. anonymous
    • one year ago
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    @baru can you help me place the points into the formula? A = (1,-1) C= (2,3) B= (-1,2) C= (2,3)

  28. baru
    • one year ago
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    \[AC = \sqrt{(1-2)^2 + (-1-3)^2}\]

  29. baru
    • one year ago
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    \[BC = \sqrt{(-1-2)^2 + (2-3)^2}\]

  30. anonymous
    • one year ago
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    @baru but how did you place them? like which value was x1 x2 and y1 y2 ?

  31. baru
    • one year ago
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    oh...ok. wait. neglect what i typed just above, i have reversed the formula you gave(but it doesn't really matter). ill type it in detail, wait

  32. baru
    • one year ago
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    umm... how did you get A=(1,-1) ??

  33. anonymous
    • one year ago
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    i looked at the graph to see where the point is, did i saw it wrong? omg let me see haha

  34. anonymous
    • one year ago
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    is it (1,0)?

  35. baru
    • one year ago
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    yep :)

  36. baru
    • one year ago
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    so if you want to find the length AC then think of A =(x1,y1) and C=(x2,y2)

  37. baru
    • one year ago
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    so, x1=1 and y1=0 x2=2 and y2=3

  38. anonymous
    • one year ago
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    ohhhhhh kk hha now ill find AC

  39. anonymous
    • one year ago
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    i got 10 for AC

  40. anonymous
    • one year ago
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    AM I RIGHT? @baru

  41. anonymous
    • one year ago
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    lol i wanna make sure

  42. anonymous
    • one year ago
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    i have a feeling i am doing it wrong

  43. anonymous
    • one year ago
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    or is everything supoosed to stay in the sqr root ?

  44. anonymous
    • one year ago
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    so its supposed to be the sqr root of 10?

  45. anonymous
    • one year ago
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    so2 is my answer?

  46. baru
    • one year ago
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    yep, AC is square root of 10.

  47. anonymous
    • one year ago
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    so then i find BC?

  48. baru
    • one year ago
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    not necessary, option 2 is the only one which gives you EF= square root of 10

  49. baru
    • one year ago
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    did you try finding EF for all the options?

  50. anonymous
    • one year ago
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    what do you mean?

  51. baru
    • one year ago
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    i'm sorry i meant DF

  52. baru
    • one year ago
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    we established that for the two triangles to be congruent, length AC = length DF

  53. baru
    • one year ago
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    you have found that the length AC is square root of ten. the question gives you several options for the co-ordinates of F. so find the length DF for each of the options, and see which one gives you square root of 10

  54. anonymous
    • one year ago
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    ohhhhhhhhhhhhhhhhhhhhhh ok ok ok so i can test B and see if it gives me squeare rot of 10? and if it does it means that my answer is correct? but if it isnt i keep testing the other options until it matches square root of 10?

  55. baru
    • one year ago
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    what do you mean "so i can test B' ?

  56. anonymous
    • one year ago
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    option b for F

  57. baru
    • one year ago
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    oh..lol. Yep, you are absolutely right then

  58. anonymous
    • one year ago
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    yay! lol

  59. anonymous
    • one year ago
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    kk ima test it

  60. baru
    • one year ago
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    alright

  61. anonymous
    • one year ago
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    @baru i got the square root of ten aswell!~ does this mean B is my answer? :)

  62. baru
    • one year ago
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    yup

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