What is one way to find a missing side length in a pair of similar figures?

This is really the same question as your previous question and the answer is the same.

One way to find a missing side length in a pair of similar figures is by using the concept of scale factor. Here's how you can do it:

Step 1: Identify the two similar figures. Similar figures are those that have the same shape but not necessarily the same size.

Step 2: Determine the scale factor between the two figures. The scale factor represents how the corresponding side lengths of the figures are related.

Step 3: Locate the known side lengths in both figures. Identify a pair of corresponding sides in both figures.

Step 4: Set up a proportion using the known side lengths and the scale factor. Proportions show the relationship between two ratios. In this case, the ratios will consist of the known side length in the first figure and the corresponding side length in the second figure.

Step 5: Solve the proportion for the unknown side length. Cross-multiply the ratios and then divide by the other ratio to find the value of the unknown side length.

Step 6: Check the solution. Substitute the value of the unknown side length into the proportion and verify if the proportion holds true. If it does, you have found the correct missing side length.

By following these steps and using the concept of scale factor, you can find a missing side length in a pair of similar figures.