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Q: How are the areas of 2 similar figures related?
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What is the relationship between perimeters and areas of similar figures?

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.


What does scale factor tell about the area of two similar figures?

The areas will be proportional to (scale)2


Which figures are similar?

figures 1 and 2


There are two rectangles what are the ratio of the first to the second?

I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.


What are the sides called of 2 similar figures?

Congruent


How do you find the ratio of two similar 3 dimensional figures when only given the surface area?

Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3


How are 2 dimensional figures related to 3 dimensional figures?

2 dimensional figures just have width and length, if you were to add the height dimension it would become 3 dimensional.


What makes 2 figures similar?

When the shape is the same but the form is bigger or smaller


What is it called when 2 figures have the same shape but are different sizes?

Its called SIMALUR * * * * * SIMILAR


Why all congruent figures are similar but not all similar figures are congruent?

Take the triangle for instance, there are 3 types. One is the same on each side which is the equilateral. But the other 2 types are flat on 2 sides and diagonal on the other side.


What is the ratio of 2 corresponding linear measurements in a pair of similar figures?

The constant of proportionality or scale factor.


Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?

The ratios of areas are the squares of the ratio of lengths (and the ratio of volumes are cubes of the ratio of lengths). As the perimeter of the second is twice the perimeter of the first, each length of the second is twice the length of the first, and so the ratio of the lengths is 1:2 Thus the ratio of the areas is 1²:2² = 1:4. Therefore the surface area of the larger prism is four times that of the smaller prism.