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Q: What does the scale factor between two similar figures tell you about the given measurement perimeters?

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The areas are different.

if you add up all the sides but in a smart way

Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared. Examples: * if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4. * If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.

they are related when you can multiply or divide them together and get a whole number

First you have to go on stop being a fat kid

No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.

Their perimeters are in the same ratio.

similar figures have the same shape but not the same lengths, while congruent shapes are the same as eachother.

Since this is extra credit you need to do the work. Wiki will not help you cheat.

Congruent figures are always similar. However, similar figures are only sometimes congruent.

The ratio of 25-ft to 20-ft is 5/4 or 1.25 .But ... knowing the perimeters alone is not enough informationto guarantee that the two figures are similar.-- They could be two rectangles, one measuring 25-ft by 1-ft, the other measuring 4-ft by 5-ft.Those are not similar rectangles.-- They could even be one rectangle and one triangle ... definitely not similar.

All congruent figures are similar figures, and have identical sizes.

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