Question

to get the first pentagon to land perfectly on top of the secind pentagon we would need a translation followed by a rotation, reflection, ir dilation

Answer 1

We are given two pentagons.

Firstly, we need a dilation and then translation to get the first pentagon to land perfectly on top of the second pentagon.

The scale factor for dilation is given by

`s=(8)/(10)=0.80`

Now we can find the missing length of the side x

`\begin{gathered} (x)/(12)=(8)/(10) \\ x=12\cdot(8)/(10) \\ x=9.6 \end{gathered}`

So, the missing side x is 9.6

Therefore, first, perform a dilation by a scale factor of 0.80 and then perform a horizontal translation to the right.