Figure k is dilated to create figure L

Question

Figure K measurements: 5/4 and 4/3
Figure L measurements 3/4 and 4/5

Answer 1

To determine the scale factor of the dilation from figure K to figure L, we can use the corresponding measurements of the figures.

1. Figure K measurements are 5/4 and 4/3.
2. 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 \(\frac{3}{5}\).