Question

hello could you help me with this it is a assessment

Answer 1

We have that the point B is (10,10) and the point B' is (5,5).

Now, using the general rule for dilations:

$D_k(x,y)=(kx,ky)$

where k is the scale factor.

Then, we have the following:

$\begin{gathered} D_k(10,10)=(10k,10k)^{}=(5,5) \\ \Rightarrow10k=5 \\ \Rightarrow k=\frac{5}{10}=\frac{1}{2} \\ k=\frac{1}{2} \end{gathered}$

therefore, the rule to represent the dilation on the crewmate is:

$\begin{gathered} D_{\frac{1}{2}}(,y)=(\frac{1}{2}x,\frac{1}{2}y) \\ (x,y)\rightarrow(\frac{1}{2}x,\frac{1}{2}y) \end{gathered}$