Question

the trapezoid ijkl is a dilation of the trapezoid ijkl. 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.

Explanation:

Step1: Select corresponding side lengths

Choose side $IJ$ of trapezoid $IJKL$ and side $I'J'$ of trapezoid $I'J'K'L'$. The length of $IJ$ is $8 - (- 8)=16$. The length of $I'J'$ is $2-(-2) = 4$.

Step2: Calculate the scale - factor

The scale - factor $k$ of a dilation is given by the ratio of the length of a side in the image to the length of the corresponding side in the pre - image. So $k=\frac{I'J'}{IJ}=\frac{4}{16}$.

Step3: Simplify the ratio

Simplify $\frac{4}{16}$ to $\frac{1}{4}$.

Answer:

$\frac{1}{4}$