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The parallelogram G’H’I’J’ is a dilation of the parallelogram GHIJ. 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 G’H’I’J’ is a dilation of the parallelogram GHIJ. 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 GHIJ to G’H’I’J’, you need to compare the lengths of corresponding sides.

    1. Measure the side lengths of both parallelograms (GHIJ and G’H’I’J’) if given, or use coordinates if they are provided.
    2. Use the formula for scale factor:

    [

    text{Scale factor} = frac{text{Length of side in G’H’I’J’}}{text{Length of corresponding side in GHIJ}}

    ]
    3. Perform the calculation for at least one pair of corresponding sides.

    If side lengths are:

    – GHIJ = 4 units

    – G’H’I’J’ = 8 units

    Your scale factor would be:

    [

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

    ]

    So, the scale factor is 2.

    If you have specific lengths to use, please share them to find the exact scale factor. This method ensures you are clear on how to derive the scale factor from the figures. For more in-depth help, consider visiting the extended services page!

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