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rayman5766

  • one year ago

The vertices of a trapezoid are shown below. (0, 8), (6, 16), (6, 12), (0, 16) Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2 ? A. (2, 18) B. (12, 24) C. (0, 4) D. (4, 3)

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  1. rayman5766
    • one year ago
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    can any one help me

  2. rayman5766
    • one year ago
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    @Nnesha hey are you get with math becaues i need your help if you are

  3. rayman5766
    • one year ago
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    hey mathmate can you helpme wit this problem

  4. mathmate
    • one year ago
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    @rayman5766 If you want help, please proof-read your post. Casually copied and pasted posts discourage helpers.

  5. rayman5766
    • one year ago
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    oops sorry bot that its 1/2

  6. rayman5766
    • one year ago
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    i for got to typed that in hold on

  7. mathmate
    • one year ago
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    Are you familiar with dilations?

  8. rayman5766
    • one year ago
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    yes

  9. mathmate
    • one year ago
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    A dilation with a factor of 1/2 will make the figure bigger or smaller?

  10. rayman5766
    • one year ago
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    bogger i would hope

  11. mathmate
    • one year ago
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    A dilation factor of 2 will make the figure twice as big as the original, a dilation factor of 3 will make the figure three times as big as the original, So rethink for a factor of 1/2!

  12. rayman5766
    • one year ago
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    oh i think i see so the figure would be smaller i guess

  13. mathmate
    • one year ago
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    So do we agree that a scale factor of more than one will make the image bigger, and a scale factor of less than one will shrink the image (even it's called dilation).

  14. rayman5766
    • one year ago
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    yes we can

  15. mathmate
    • one year ago
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    Good! So a factor of 1/2 will shrink the original to what size? For example, you have a point P(1,2). Dilation factor of 2 will bring it to P'(2,4). Dilation factor of 3 will bring P'(3,6). What would be the coordinates of P' using a dilation factor of 1/2?

  16. rayman5766
    • one year ago
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    1,4?

  17. mathmate
    • one year ago
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    Please explain how you arrived at (1,4).

  18. mathmate
    • one year ago
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    Remember that 1/2 means \(\frac{1}{2}\), or 0.5.

  19. rayman5766
    • one year ago
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    actual would it be 1,1

  20. mathmate
    • one year ago
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    Please explain how you arrived at (1,1).

  21. mathmate
    • one year ago
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    (note: I will ask you to explain even if the answer is correct!)

  22. mathmate
    • one year ago
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    (note: I will ask you to explain even if the answer is correct, so stop guessing)

  23. rayman5766
    • one year ago
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    sorry i was using multiplication for my answers but that would make more sens 1/2 is 50 so in dilation it would be 0,5 sorry for my stupidity

  24. mathmate
    • one year ago
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    So please explain how you got (1,1).

  25. rayman5766
    • one year ago
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    well i thought i seen a pattern with the 2,4 being 4 2x2 would be 4 and 3 x 2=6

  26. rayman5766
    • one year ago
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    so i thought 1 would equal 1.1 but i forgot it was a 1/2 wich would make it 0.5 sorry i think of some other thing wich would make it the answer

  27. rayman5766
    • one year ago
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    also i keep putting wich and now which

  28. mathmate
    • one year ago
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    Good, the fact is that each of the (x,y) coordinates must be multiplied by the scale factor. For example, if we apply a factor of 1.5 to P(2,5), we would get P'(2*1.5, 5*1.5)=P'(3,7.5). So can you try again?

  29. rayman5766
    • one year ago
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    i meant not

  30. rayman5766
    • one year ago
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    ok i can try

  31. mathmate
    • one year ago
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    Not a problem unless you order a sandwhich at a restaurant! lol

  32. rayman5766
    • one year ago
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    ha good one you see when i think of math i think of possibility's so i think of this which would make that

  33. rayman5766
    • one year ago
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    be the answer

  34. mathmate
    • one year ago
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    Just in case our original question was lost: For example, you have a point P(1,2). Dilation factor of 2 will bring it to P'(2,4). Dilation factor of 3 will bring P'(3,6). What would be the coordinates of P' using a dilation factor of 1/2?

  35. rayman5766
    • one year ago
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    so i get confused and make a dump aswer which makes me look like an idiot

  36. mathmate
    • one year ago
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    The only dumb answer is the one that was never made!

  37. rayman5766
    • one year ago
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    2*1.2 and 3*1.5 =

  38. rayman5766
    • one year ago
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    i didn't put the answer becaues i am trying to make sure i am going in the right path here so am

  39. rayman5766
    • one year ago
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    wait would my answer be A

  40. mathmate
    • one year ago
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    The answer to \(my\) question, P(1,2) with a factor of 0.5 is P'(1*0.5, 2*0.5) = P'(0.5,1) (use a calculator if you need to) Understand how the above problem was solved before thinking about the problem you are trying to solve. Math is about understanding. We should always understand how to solve a class of problems BEFORE attempting exercises on the topic. Guessing will only make math hard, for now and for the future.

  41. rayman5766
    • one year ago
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    wow that was some hard core wisdom you just said but you are correct

  42. rayman5766
    • one year ago
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    also that would make sens knowing 1/5 is 0.5 oki thik i get it

  43. mathmate
    • one year ago
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    1/2 = 0.5, 1/5\(\ne\) 0.5

  44. rayman5766
    • one year ago
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    oh sorry i know that

  45. rayman5766
    • one year ago
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    i put a 5 and not a 2my bad

  46. rayman5766
    • one year ago
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    but one more thing were does the 3 you put up there come from '

  47. mathmate
    • one year ago
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    Just in case our original question was lost: For example, you have a point P(1,2). Dilation factor of 2 will bring it to P'(2,4). Dilation factor of 3 will bring P'(3,6). What would be the coordinates of P' using a dilation factor of 1/2? If this is what you meant, they were examples

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