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The triangle D’E’F’ is a dilation of the triangle DEF. 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 triangle D’E’F’ is a dilation of the triangle DEF. 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 triangle DEF to triangle D’E’F’, you can use the formula:

    [

    text{Scale Factor} = frac{text{Length of a side in triangle D’E’F’}}{text{Corresponding length of the side in triangle DEF}}

    ]

    1. Measure the lengths of a corresponding side in both triangles. Let’s say, for example:

    – Side DE measures 4 units in triangle DEF.

    – Side D’E’ measures 8 units in triangle D’E’F’.

    2. Now, apply the formula:

    [

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

    ]

    This means that triangle D’E’F’ is 2 times larger than triangle DEF, leading us to the conclusion that the scale factor is 2.

    Make sure to use the specific measurements from your triangles to obtain your exact scale factor. If you have any more questions or need further assistance, feel free to ask!

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