Question

The larger figure is the image of the smaller figure after a dilation with Center C

Answer 1

Given:

in 27, the smaller triangle is the image of the larger triangle after a dilation with Center C

We will find the scale factor and the value of y

First, the result of the dilation gives similar figures

So, the side lengths of the figures will be proportions

We will find the scale factor (r) as follows:

`r=(image)/(origin)=(2)/(3)`

now, we will find the value of y using the ratio and proportions

`\begin{gathered} (y)/(2)=(3)/(2)\to*2 \\ \\ y=3 \end{gathered}`

So, the answer will be:

The scale factor = 2/3

y = 3