Answer :

The scale factor between two shapes like pentagon G and pentagon H is found by comparing their corresponding side lengths. If one side of pentagon G is 4 units, and the corresponding side in pentagon H is 6 units, the scale factor would be 1.5 (6 divided by 4). Every side length in pentagon G multiplied by this scale factor would give the corresponding side length in pentagon H.

In mathematics, a scale factor is used to denote the multiplier needed to transform one shape into another while keeping the same shape. To find the scale factor between pentagon G and pentagon H, one should compare corresponding side lengths in the two pentagons.

For example, if one side of pentagon G is 4 units and the corresponding side in pentagon H is 6 units, you would divide 6 by 4 to get a scale factor of 1.5.

Therefore, every side length in pentagon G multiplied by the scale factor (1.5 in this example) would give the corresponding side length in pentagon H. Notably, an increase in the scale factor results in a larger shape, whereas a decrease results to a smaller shape.

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The probable question may be:

Pentagon H is a scaled copy of pentagon G. Pentagon H What scale factor takes pentagon G to pentagon H ?

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