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Tati_Lee

  • 3 years ago

The coordinates of rectangle ABCD are A(-8, 6), B(-2, 6), C(-2, 3), D(-8, 3). What are the coordinates of the point of intersection of the diagonals of the rectangle after the rectangle is reflected across the x-axis? (5, 1.5) (5, 4.5) (-5, -4.5) (-5, 1.5)

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  1. Tati_Lee
    • 3 years ago
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    @jim_thompson5910 can you help me

  2. jim_thompson5910
    • 3 years ago
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    First find the midpoint of segment AB

  3. jim_thompson5910
    • 3 years ago
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    Do you know how to do that?

  4. Tati_Lee
    • 3 years ago
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    yes

  5. jim_thompson5910
    • 3 years ago
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    so what is the midpoint of AB

  6. Tati_Lee
    • 3 years ago
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    (-5,6)

  7. jim_thompson5910
    • 3 years ago
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    now find the midpoint of BC

  8. jim_thompson5910
    • 3 years ago
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    and tell me what you get

  9. Tati_Lee
    • 3 years ago
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    0,4.5

  10. jim_thompson5910
    • 3 years ago
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    you should have gotten (-2,4.5)

  11. jim_thompson5910
    • 3 years ago
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    now call the midpoint of AB point M call the midpoint of BC point N

  12. Tati_Lee
    • 3 years ago
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    ohh i subtracted the first one instead of adding my bad

  13. jim_thompson5910
    • 3 years ago
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    the diagonals will cross at the point that has the x coordinate of M and the y coordinate of N So the diagonals will cross at (-5,4.5)

  14. Tati_Lee
    • 3 years ago
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    but thats not one of the choices

  15. jim_thompson5910
    • 3 years ago
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    oh, you have to reflect it over the x axis, so the y coordinate will flip in sign and become -4.5

  16. jim_thompson5910
    • 3 years ago
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    so the intersection of the diagonals is (-5,-4.5)

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