Question

figure wxyz is a dilation of figure wxyz. label the center of dilation. then write a similarity statement.

Explanation:

Step1: Identify the center of dilation

The center of dilation is the point from which the figure is expanded or contracted. By observing the corresponding points of the original figure \(WXYZ\) and the dilated figure \(W'X'Y'Z'\), we can see that the center of dilation is the point \(W\) since the distances from \(W\) to the other points in the original figure and their corresponding dilated - points are in proportion and the lines connecting corresponding points (e.g., \(X\) and \(X'\), \(Y\) and \(Y'\), \(Z\) and \(Z'\)) pass through \(W\).

Step2: Write the similarity statement

For two similar figures, the order of the vertices in the similarity statement must match the corresponding vertices. Since \(W\) is the center of dilation and the figures are similar, the similarity statement is \(\triangle WXYZ\sim\triangle WX'Y'Z'\)

Answer:

The center of dilation is point \(W\). The similarity statement is \(WXYZ\sim WX'Y'Z'\)