Question

Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A'B'C'D'. If the length of AB and A'B' are 5.6 units and 2.24 units respectively, what is the value of the scale factor?

Answer 1

Scale factor is defined as:
A dilation of scalar factor k whose center of dilation is the origin
may be written: Dk (x, y) = (kx, ky)
This means that the dilation factor is the distance between the centre of dilation to the image, divided by the distance between the centre to the preimage.
For example, point A(3,5) is dilated with origin as the centre of dilation and a scale factor of 3 has an image A'(3*3,3*5)=A'(9,15).

Answer 2

i dont get it

Answer 3

Example:

This is an example of a dilation with a scale factor of 2.
ABCD is the preimage (before dilation)
A'B'C'D' is the image (after dilation)
The rule of the dilation is:
(x,y)->(2x,2y)

So a point A(2,-1) is dilated to A'(4,-2)