To determine the scale factor of the dilation from figure K to figure L, we can use the corresponding measurements of the figures.
- Figure K measurements are 5/4 and 4/3.
- Figure L measurements are 3/4 and 4/5.
To find the scale factor for each corresponding pair of dimensions, we can calculate the ratio of the dimensions of figure L to the dimensions of figure K:
-
For the first pair: \[ \text{Scale Factor} = \frac{\text{Figure L}}{\text{Figure K}} = \frac{3/4}{5/4} = \frac{3}{4} \times \frac{4}{5} = \frac{3}{5} \]
-
For the second pair: \[ \text{Scale Factor} = \frac{4/5}{4/3} = \frac{4}{5} \times \frac{3}{4} = \frac{3}{5} \]
Since both ratios yield the same scale factor, we can conclude that the scale factor of the dilation from figure K to figure L is \(\frac{3}{5}\).