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 corresponding points

Find a pair of corresponding points, e.g., \( E(-2, 2) \) and \( E'(-10, 10) \).

Step2: Calculate scale factor

Scale factor \( k = \frac{\text{Coordinate of } E'}{\text{Coordinate of } E} \). For \( x \)-coordinate: \( \frac{-10}{-2} = 5 \), for \( y \)-coordinate: \( \frac{10}{2} = 5 \).

Answer:

5