Question

For each pair of figures, determine whether one is a dilation of the other

If so, give the scale factor of the smaller to the larger figure

Answer 1

a. 5/2

b. not a dilation

c. not a dilation

Explanation:

You want the scale factor of the dilation from the smaller figure to the larger one.

a. Circle

Any circle is a dilation of any other circle. The dilation factor is the ratio of the radii: 5/2.

b. I

The aspect ratio of the smaller figure is 4:1. For the larger figure, it is 3:1. The larger figure is not a dilation of the smaller one.

c. T

The aspect ratio of the smaller figure is 7:5. For the larger figure, it is 7:4. The larger figure is not a dilation of the smaller one.

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Additional comment

Here, we've taken the aspect ratio to be the ratio of the vertical dimension to the horizontal dimension: 3.5/2.5 = 7/5, for example.