Question & Answer

The trapezoid R’S’T’U’ is a dilation of the trapezoid RSTU. 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 trapezoid R’S’T’U’ is a dilation of the trapezoid RSTU. 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.

1 Answer

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Quizzma TeamMarch 14, 2025

To determine the scale factor of the dilation from trapezoid RSTU to trapezoid R’S’T’U’, you can use the formula:

[ text{Scale Factor} = frac{text{Side Length of R’S’T’U’}}{text{Corresponding Side Length of RSTU}} ]

1. Measure the lengths of corresponding sides of both trapezoids (e.g., the shorter base, the longer base, or the height).
2. Divide the length of a side of the dilated trapezoid (R’S’T’U’) by the length of the corresponding side of the original trapezoid (RSTU).

For example, if the shorter base of R’S’T’U’ is 6 units and the shorter base of RSTU is 3 units, then the scale factor would be:

[ text{Scale Factor} = frac{6}{3} = 2 ]

If you have specific values for the sides, substitute them into the formula to find the scale factor. It should be expressed as a proper fraction, improper fraction, or whole number.

If you have the side lengths, feel free to share them for a specific calculation!