What does a scale factor between two similar figures tell you about the relationships between the length and area measures of the figures?
The relationship is that you use the l&w to find the scale factor. you can
make L&W ratios for each figure, then you divide both of the ratios to get the scale factor.
i found my answer
The scale factor between two similar figures tells you that the ratio of the lengths and widths of the figures is the same, and that the ratio of the areas of the figures is the same as the square of the scale factor.
Great! So, the scale factor between two similar figures tells you about the relationship between their length and area measures. To find the scale factor, you can create ratios of the lengths and widths of each figure. Then, divide the ratios to get the scale factor. This scale factor will give you information about how the lengths and areas of the figures are related to each other.
The scale factor between two similar figures tells you about the relationship between the length and area measures of the figures.
When you have two similar figures, you can compare their corresponding sides to find the scale factor. You can create ratios by comparing the lengths (or widths) of the corresponding sides of the two figures.
For example, if the length of a side in the first figure is 4 units and the corresponding side in the second figure is 2 units, the length ratio would be 4:2, or simplified, 2:1.
The scale factor is found by dividing the corresponding lengths (or widths) of the two figures. In this example, the scale factor would be 2:1.
This means that the lengths (and widths) of the second figure are half of the lengths (and widths) of the first figure.
When it comes to the area measures of the figures, the relationship is even more direct. The scale factor between the two figures can be applied to the area as well.
For example, if the scale factor is 2:1, then the area of the second figure would be 1/4th of the area of the first figure.
In general, if the scale factor is a:b, then the area of the second figure would be (a/b)^2 times the area of the first figure.
In summary, the scale factor between two similar figures tells you how the lengths (or widths) and areas of the figures are related.