Question

the trapezoid cdef is a dilation of the trapezoid cdef. 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: Identify coordinates of a point and its image

Let's take point \( D \) and its image \( D' \). From the graph, \( D \) has coordinates \( (8, 4) \) and \( D' \) has coordinates \( (2, 1) \).

Step2: Calculate scale factor

The scale factor \( k \) of a dilation is given by the ratio of the coordinates of the image to the original. For the \( x \)-coordinate: \( \frac{2}{8}=\frac{1}{4} \). For the \( y \)-coordinate: \( \frac{1}{4} \). So the scale factor is \( \frac{1}{4} \).

Answer:

\(\frac{1}{4}\)