Question

Figure D' E' F' G' is a dilation with center (0,0) of DEFG.What is the scale factor?

Answer 1

Given the vertices of the original figure DEFG:

D(1, 1), E(2, 2), F(4, 2), G(3, 1)

Vertices of the dilated figure D'E'F'G':

D'(4, 4), E'(8, 8), F'(16, 8), G'(12, 4)

A dilation is a form of transformation that produces a figure that has the same shape as the original but different size.

To perform a dilation multiply the vertices of the original image by the scale factor.

To find the scale factor divide one of the coordinates of the dilated figure by the corresponding coordinate of the original figure.

Thus, we have:

`\begin{gathered} \text{SF=}\frac{D^(\prime)}{D^{}}=(4)/(1),(4)/(1)=4,4 \\ \end{gathered}`

Therefore, the scale factor of the dilation is 4

ANSWER:

Scale factor = 4