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anonymous

  • one year ago

( I don't understand at all) ΔABC is translated 2 units down and 1 unit left. Then it is rotated 90° clockwise about the origin to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ? A. A′(-2, 0), B′(1, -1), C′(-1, -1) B. A′(2, 1), B′(5, 0), C′(3, 0) C. A′(-1, -2), B′(2, -3), C′(0, -3) D. A′(-2, 1), B′(1, 0), C′(-1, 0)

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  1. jim_thompson5910
    • one year ago
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    `ΔABC is translated 2 units down and 1 unit left` what you do is focus on each point one at a time. Start with point A. Move the point 2 units down and 1 unit to the left. You can do this with the coordinates `2 units down` means you subtract 2 from the y coordinate `1 unit left` means you subtract 1 from the x coordinate

  2. jim_thompson5910
    • one year ago
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    what are the coordinates of point A?

  3. anonymous
    • one year ago
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    (0,0)

  4. jim_thompson5910
    • one year ago
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    what does A shift to when you shift `2 units down and 1 unit left`

  5. anonymous
    • one year ago
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    -2,-1

  6. jim_thompson5910
    • one year ago
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    you mixed up x and y

  7. jim_thompson5910
    • one year ago
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    |dw:1444170735186:dw|

  8. anonymous
    • one year ago
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    i was just about to say that haha my bad -1,-2

  9. jim_thompson5910
    • one year ago
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    |dw:1444170750332:dw|

  10. jim_thompson5910
    • one year ago
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    don't forget the parenthesis to surround the 2 values

  11. jim_thompson5910
    • one year ago
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    Then you'll do a 90 degree clockwise rotation about the origin To do that, you follow this rule: (x,y) ----> (y,-x)

  12. anonymous
    • one year ago
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    okay

  13. jim_thompson5910
    • one year ago
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    apply the rule to (-1,-2) to get (???, ???)

  14. anonymous
    • one year ago
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    (-2,-1)

  15. jim_thompson5910
    • one year ago
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    close, but notice how there is a negative in the second part of the rule `(x,y) ----> (y,-x)`

  16. jim_thompson5910
    • one year ago
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    so it should be (-2,1) |dw:1444171012616:dw|

  17. jim_thompson5910
    • one year ago
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    |dw:1444171040427:dw|

  18. jim_thompson5910
    • one year ago
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    |dw:1444171057927:dw|

  19. jim_thompson5910
    • one year ago
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    so after the shift and rotation, A moves from (0,0) to (-2,1)

  20. jim_thompson5910
    • one year ago
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    apply these steps to B and C to figure out where they end up

  21. anonymous
    • one year ago
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    is it D?

  22. jim_thompson5910
    • one year ago
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    sorry my notification thing wasn't working

  23. jim_thompson5910
    • one year ago
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    yes it's D

  24. anonymous
    • one year ago
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    No problem, Thanks again c:

  25. jim_thompson5910
    • one year ago
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    you're welcome

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