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anonymous

  • one year ago

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV, as shown below: What will be the location of U' in the image trapezoid S'T'U'V'? A. (16, −2) B. (14, −2) C. (14, 1) D. (16, 1)

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @calculusxy @phi @peachpi

  3. phi
    • one year ago
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    pick a point on rectangle JKLM, say point J which is at (-5,1) where is point J' ?

  4. anonymous
    • one year ago
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    In my opinion is A, but im not sure i just need an explanation

  5. phi
    • one year ago
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    say point J which is at (-5,1) where is point J' ? can you find point J' and "read off" its (x,y) coordinates?

  6. anonymous
    • one year ago
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    Point J is at 4,5

  7. phi
    • one year ago
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    point J prime J' yes, it is at x=4 what is its y ? (its y is not 5)

  8. anonymous
    • one year ago
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    y is at 3? im not sure about y

  9. phi
    • one year ago
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    how many "steps up" (or boxes) from the x-axis up to J' ?

  10. anonymous
    • one year ago
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    3?

  11. phi
    • one year ago
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    Here is a picture counting up 2 steps (see the red numbers?)

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  12. anonymous
    • one year ago
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    ohhh, yes i see them

  13. phi
    • one year ago
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    so how far up to J' ?

  14. anonymous
    • one year ago
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    2

  15. phi
    • one year ago
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    how far up from the x-axis? (2 gets us 1/2 way)

  16. anonymous
    • one year ago
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    3 then, i really dont know omg

  17. phi
    • one year ago
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    you will get it. you put your finger on the x-axis below J' and count up 1,2,etc until you are at J' (the corner of the rectangle)

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  18. anonymous
    • one year ago
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    5

  19. phi
    • one year ago
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    like this

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  20. anonymous
    • one year ago
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    ohhh i get it now

  21. phi
    • one year ago
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    the corner of the box (labeled J') is at (4,4) from the "origin" you move sideways 4 steps, then 4 steps straight up.

  22. phi
    • one year ago
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    so J at (-5,1) moved to J' at (4,4) what do we add to -5 to make it 4 ? what do we add to 1 to make it 4 ?

  23. anonymous
    • one year ago
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    1 and 3

  24. phi
    • one year ago
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    ok on the 3 (so remember we add 3 to the y number) but -5+1 = -4 and we want +4

  25. anonymous
    • one year ago
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    so what do we do? :/

  26. phi
    • one year ago
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    the other way to figure it out is put your finger on J and count how many steps to the right until you are directly under J' (it is more than 1 step)

  27. phi
    • one year ago
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    when I say point J, I mean the corner of the rectangle labeled J it is at (-5,1)

  28. anonymous
    • one year ago
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    i dont get it, the part of counthing steps to the right

  29. phi
    • one year ago
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    can you put your finger on the corner of the rectangle near the label J ?

  30. anonymous
    • one year ago
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    yes

  31. phi
    • one year ago
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    and move your finger to the right one box, then two boxes, and so on ?

  32. anonymous
    • one year ago
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    okay i do that up to where?

  33. phi
    • one year ago
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    keep doing that (and counting) until you are directly under the corner of the rectangle labeled J'

  34. anonymous
    • one year ago
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    2?

  35. phi
    • one year ago
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    |dw:1440886102612:dw|

  36. phi
    • one year ago
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    if you count it right, it should take 5 steps to get to the y-axis. and we still have some more steps to get to be under J

  37. anonymous
    • one year ago
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    so its more than 5? its not A like i thought it was?

  38. phi
    • one year ago
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    this is a complicated problem. we are trying to figure out how much they moved point J to get to J' we see it was "slid over" so many steps. we need to figure out how far. it is the number of steps to take us from -5 to +4

  39. anonymous
    • one year ago
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    thats complicated

  40. phi
    • one year ago
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    yes. do you see that if we are at J and move 2 steps will be here (see pic)

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  41. anonymous
    • one year ago
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    yes ii see that.

  42. phi
    • one year ago
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    we need to count how many steps from J to get to the "red 1" that is under J'

  43. anonymous
    • one year ago
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    which J i dont get this sorry.

  44. phi
    • one year ago
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    from the red circle to the green circle. how many steps?

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  45. anonymous
    • one year ago
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    9

  46. phi
    • one year ago
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    yes. another way to find that is to do 4 - (-5) = 4+5 = 9 but the idea is we ADD 9 to x and ADD 3 to y

  47. anonymous
    • one year ago
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    i think it was easier counting the boxes lol

  48. phi
    • one year ago
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    it is good to learn how to do the subtraction idea. but now we are almost ready to answer the question What will be the location of U' first, can you read off the (x,y) coords of point U ?

  49. anonymous
    • one year ago
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    6 and im not sure about the y cord

  50. phi
    • one year ago
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    we want the coordinates where the red circle is. first , look on the x-axis. what number are we at when we are right above the red circle?

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  51. anonymous
    • one year ago
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    7

  52. phi
    • one year ago
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    in case you did not know, we are interested in the "corners" of the shape (not where the label is ) yes 7 over. now how far down ? (look on the y-axis... what number is straight across to the red circle) (or count down)

  53. anonymous
    • one year ago
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    2? im confused there

  54. phi
    • one year ago
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    it's -2 because we count down (from the x-axis) (+2 would be 2 above the x-axis)

  55. anonymous
    • one year ago
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    yes, -2 sorry.

  56. phi
    • one year ago
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    Does this help?

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  57. anonymous
    • one year ago
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    that helps!

  58. phi
    • one year ago
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    if you put your finger at the "orgin" (where the x-axis and y-axis cross) you count down 2 steps, then 7 steps to the right, and you will be at the red circle.

  59. phi
    • one year ago
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    so we figured out that U is at (-2,7) we now use the "rule" (from up above) if we can still remember it! ADD 9 to x and ADD 3 to y to find where U' is can you do that ?

  60. anonymous
    • one year ago
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    so i add 9 to -2 abd 3 to 7?

  61. phi
    • one year ago
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    oops, I confused the x and y. but yes what you said, but with the correct numbers: so we figured out that U is at (7,-2) we now use the "rule" (from up above) if we can still remember it! ADD 9 to x and ADD 3 to y to find where U' is can you do that ?

  62. anonymous
    • one year ago
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    16 and 1

  63. phi
    • one year ago
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    yes. so that is where U' is

  64. phi
    • one year ago
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    (16,1)

  65. anonymous
    • one year ago
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    so the correct answer is D

  66. phi
    • one year ago
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    yes

  67. anonymous
    • one year ago
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    thank you so much!

  68. phi
    • one year ago
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    yw

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