Question

the parallelogram wxyz is a dilation of the parallelogram wxyz. 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 coordinates of Y and Y'

From the graph, \( Y = (2, 2) \), \( Y' = (10, 10) \).

Step2: Calculate scale factor

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

Answer:

5