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Q: What is the definition of a scale factor?

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scale factor

the ratio of a length on a scale drawing or model to the corrisponding length on the real object

The scale factor between two similar shapes is the ratio of the dimensions of one (often the smaller) compared with the dimension of the other (the larger).

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You increase the scale factor.

The area scale factor is the square of the side length scale factor.

Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.

The area is directly proportional to the square of the scale factor. If the scale factor is 2, the area is 4-fold If the scale factor is 3, the area is 9-fold If the scale factor is 1000, the area is 1,000,000-fold

1 shape cannot have a scale factor. A scale factor is something (a factor) that relates one shape to another.

The scale of star brightness is the 'magnitude'. The definition of the magnitude is: A change of six magnitudes equals a factor of 100. So one magnitude change is a factor equal to the 6th root of 100 = about 2.15443 (rounded)

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