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Sunshine447 Group Title

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

  • 2 years ago
  • 2 years ago

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  1. Sunshine447 Group Title
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    @apple_pi @ashleyvess07 @giovkast

    • 2 years ago
  2. apple_pi Group Title
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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.

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

    • 2 years ago
  4. apple_pi Group Title
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    yes

    • 2 years ago
  5. Sunshine447 Group Title
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    or 3?

    • 2 years ago
  6. Sunshine447 Group Title
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    I dont know... I'm so confused @apple_pi

    • 2 years ago
  7. apple_pi Group Title
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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

    • 2 years ago
  8. Sunshine447 Group Title
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    ?

    • 2 years ago
  9. Sunshine447 Group Title
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    why >1? @apple_pi

    • 2 years ago
  10. apple_pi Group Title
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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.

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

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

    • 2 years ago
  13. Sunshine447 Group Title
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    oh ok thanks

    • 2 years ago
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