Evaluate a ratio of widths and a ratio of lengths. Are they the same?
Is it a dilation? Yes. Scale factor: 4
Practice makes perfect
We are asked to determine if the painting a dilation of the original photo. To do this, we will compare a ratio of widths and a ratio of lengths. If they turn out to be equal, then we have a dilation.
Painting Width/Photo Width? =Painting Length/Photo Length
Let's evaluate these ratios using the given dimensions. We will start with the ratio of widths.
The ratio of lengths is also 4.
Painting Width/Photo Width? =Painting Length/Photo Length
⇓
4=4
Since the ratios are equal, the painting is a dilation of the original photo, and the scale factor is 4.
