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The areas of two similar figures are related by the square of the ratio of their corresponding side lengths. If the ratio of the side lengths of the two figures is ( k:1 ), then the ratio of their areas will be ( k^2:1 ). This means that if one figure is scaled up or down by a factor, its area will change by the square of that factor. Thus, similar figures have areas that scale proportionally to the square of their linear dimensions.
What else can I help you with?
Which figures are similar?
figures 1 and 2
How do you find the surface area of similar figures?
To find the surface area of similar figures, you first need to determine the scale factor between the two figures. If the scale factor is ( k ), then the ratio of their surface areas will be ( k^2 ). Multiply the surface area of one figure by ( k^2 ) to find the surface area of the similar figure. This principle applies to any pair of similar shapes, regardless of their dimensions.
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
What is it called when 2 figures have the same shape but are different sizes?
Its called SIMALUR * * * * * SIMILAR
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.
How do you find the surface area of similar figures?
To find the surface area of similar figures, you first need to determine the scale factor between the two figures. If the scale factor is ( k ), then the ratio of their surface areas will be ( k^2 ). Multiply the surface area of one figure by ( k^2 ) to find the surface area of the similar figure. This principle applies to any pair of similar shapes, regardless of their dimensions.
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.
