Question

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

Answer 1

@apple_pi @ashleyvess07 @giovkast

Answer 2

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.

Answer 3

so it's 1/3?

Answer 4

yes

Answer 5

or 3?

Answer 6

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

Answer 7

Actually no, the original figure is ABCD not A'B'C'D, and the figure is being dilated, so the scale must be > 1

Answer 8

?

Answer 9

why >1? @apple_pi

Answer 10

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.

Answer 11

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

Answer 12

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

Answer 13

oh ok thanks