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:

$r=\frac{image}{origin}=\frac{2}{3}$

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

$\begin{gathered} \frac{y}{2}=\frac{3}{2}\to\times2 \\ \\ y=3 \end{gathered}$

So, the answer will be:

The scale factor = 2/3

y = 3