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Sunshine447

  • 3 years ago

Quadrilateral ABCD and its dilation, quadrilateral A'B'C'D', are shown on the coordinate plane. If the center of dilation is at the origin, by what scale factor was quadrilateral ABCD dilated? http://learn.flvs.net/webdav/educator_geometry_v14/module06/img/06_06b_04_03_lg.gif

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  1. Sunshine447
    • 3 years ago
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    @apple_pi @ashleyvess07 @giovkast

  2. apple_pi
    • 3 years ago
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    If the center is 0,0 then to find the scale factor just take any of the points on the smaller figure e.g. A(0,3) and the corresponding point on the larger figure e.g. A'(0,9). Work out the distance of each from the center of dilation (0,0). The distances will be reduced at an equal ratio as the figure.

  3. Sunshine447
    • 3 years ago
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    so it's 1/3?

  4. apple_pi
    • 3 years ago
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    yes

  5. Sunshine447
    • 3 years ago
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    or 3?

  6. Sunshine447
    • 3 years ago
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    I dont know... I'm so confused @apple_pi

  7. apple_pi
    • 3 years ago
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    Actually no, the original figure is ABCD not A'B'C'D, and the figure is being dilated, so the scale must be > 1

  8. Sunshine447
    • 3 years ago
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    ?

  9. Sunshine447
    • 3 years ago
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    why >1? @apple_pi

  10. apple_pi
    • 3 years ago
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    well, scale of 1 means no increase or decrease. scale of > 1 means it is being enlarged. scale of < 1 means it is being shrunken.

  11. Sunshine447
    • 3 years ago
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    will it always be 1, >1, or <1? There's no other possible answers?

  12. apple_pi
    • 3 years ago
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    What I meant by > 1, is that it is definitely 3 not 1/3

  13. Sunshine447
    • 3 years ago
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    oh ok thanks

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