# Exploring Dilations

In this construction, we have created a dilation of polygon ABCDE from center O, by the scale factor indicated on the slider (r).

Compare the lengths of AB and A'B'. How does the ratio AB/A'B' compare to the scale factor r (the slider)?

Now change the value of r by moving the slider. Does the length of A'B' change as you would expect?

Explore this construction by moving point O. Can you find a way to place ABCD completely in the interior of A'B'C'D'?