Question

the trapezoid ( bcde ) is a dilation of the trapezoid ( bcde ). 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: Find corresponding side lengths

In trapezoid \(BCDE\), the \(y -\)coordinate of \(B\) is \(2\). In trapezoid \(B'C'D'E'\), the \(y -\)coordinate of \(B'\) is \(10\).

Step2: Calculate the scale factor

The scale factor \(k\) of a dilation is given by the formula \(k=\frac{\text{length of side in image}}{\text{length of side in pre - image}}\). Using the \(y -\)coordinates (since dilation is uniform in all directions for a similar figure), \(k = \frac{10}{2}\).

Answer:

\(5\)