## 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

1. Sunshine447

@apple_pi @ashleyvess07 @giovkast

2. apple_pi

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

so it's 1/3?

4. apple_pi

yes

5. Sunshine447

or 3?

6. Sunshine447

I dont know... I'm so confused @apple_pi

7. apple_pi

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

?

9. Sunshine447

why >1? @apple_pi

10. apple_pi

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

will it always be 1, >1, or <1? There's no other possible answers?

12. apple_pi

What I meant by > 1, is that it is definitely 3 not 1/3

13. Sunshine447

oh ok thanks