Scale factor
It is the ratio of side lengths in an enlargement to those of the original figure.
The scale factor is a constant that relates the measurements of one geometrical figure to another. It is the ratio of any two corresponding lengths in two similar geometric figures. When two figures are similar, it means that they have the same shape but not necessarily the same size. In a sense, the scale factor represents the degree of enlargement or reduction between two similar objects.
For example, suppose we have two rectangles with different measurements, but they have the same shape. The length of rectangle A is 6, and its width is 3. The length of rectangle B, on the other hand, is 12, and its width is 6. The scale factor between the two rectangles can be calculated by dividing the corresponding lengths. The corresponding lengths in this case are the lengths of the two rectangles, which are 6 and 12. So the scale factor between rectangle A and rectangle B is:
Scale Factor = Length of B / Length of A
Scale Factor = 12 / 6
Scale Factor = 2
In this example, the scale factor is 2, which means that rectangle B is twice the size of rectangle A. If we apply this scale factor to rectangle A, we can obtain rectangle B by multiplying all its dimensions (length and width) by 2. Conversely, to obtain rectangle A from rectangle B, we would divide its dimensions by 2.
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