Geometry - Scale Factor and Scaling

4 important questions on Geometry - Scale Factor and Scaling

True or false: If we have a pair of similar shapes (the mathematical definition not the colloquial use) and we find that one length is multiplied by the other, so are all the other lengths.

True

In the context of scaling, if the length of a figure increases by k, by how much does the area increase?

The area increases by k squared = k^2.

As the edge length increase by factor k, the volume increase by?

A factor of k^3
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True or false, for any 3D shape as long as the smaller shape and larger shape are truly similar, and the ratio of lengths equals k, then the ratio of volumes equals k^3.

True

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