Question #36825

What is the scale factor from a to b

Expert's answer

What is the scale factor from α\alpha to b\pmb{b} ?

Solution.

Example.

Let we have two similar figures:



In this case, The scale factor from α\alpha to b\pmb{b} is b/a\pmb{b} / \pmb{a} . In other words, if we multiply α\alpha by the scale factor b/a\pmb{b} / \pmb{a} we get b\pmb{b} .

In the general case, a scale factor is a number which scales, or multiplies, some quantity.

For example, if we have an equation α=Sb˙,S\alpha = S\dot{b}, S is the scale factor.

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