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The parallelogram D’E’F’G’ is a dilation of the parallelogram DEFG. What is the scale factor of the dilation? Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

The parallelogram D’E’F’G’ is a dilation of the parallelogram DEFG. What is the scale factor of the dilation?

Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.




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1 Answer

  1. To find the scale factor of the dilation from parallelogram DEFG to parallelogram D’E’F’G’, you need to compare the lengths of corresponding sides of the two parallelograms.

    1. Measure the lengths of one side of parallelogram DEFG, let’s say side DE, and then measure the corresponding side D’E’ in the dilated shape.
    2. Calculate the scale factor using the formula:

    [

    text{Scale Factor} = frac{text{Length of D’E’}}{text{Length of DE}}

    ]

    3. Simplify your fraction to get the scale factor.

    For example, if the length of DE is 4 units and D’E’ is 8 units, the calculations would be:

    [

    text{Scale Factor} = frac{8}{4} = 2

    ]

    This means the scale factor of the dilation is 2.

    Make sure to measure the sides accurately to get the correct scale factor! If you provide the lengths, I can help you calculate it step-by-step.

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