Question

Write a sequence of dilations and translations that maps circle B onto circle A

Answer 1

ANSWER:

The sequence would be a dilation with a factor of 0.75 and a translation of 8 units to the right

STEP-BY-STEP EXPLANATION:

We can determine the dilation by means of the radius of each circle.

In circle A it is 4 units and in circle B it is 3 units, therefore:

$f=\frac{3}{4}=0.75$

That is, there is a dilation by a factor of 0.75.

Then there is a translation to the right where we can calculate it knowing the centers of each circle, like this:

$\begin{gathered} (-4,0)\rightarrow(4,0) \\ \\ t=4-(-4)=4+4=8 \end{gathered}$

That means there is a translation of 8 units to the right.

The sequence would be a dilation with a factor of 0.75 and a translation of 8 units to the right