Question

christopher draws figures w, x, y, and z. the center of dilation is v. which figures, if any, are dilations of figure w? explain.

Explanation:

Step1: Recall dilation property

In a dilation, corresponding angles are equal and corresponding side - lengths are in proportion.

Step2: Analyze figure X

Figure X has the same shape as figure W. The ratio of the side - lengths of X to W is constant. All the angles in X and W are equal.

Step3: Analyze figure Y

Figure Y does not have the same shape as figure W. The side - length ratios are not constant and the overall shape is different.

Step4: Analyze figure Z

Figure Z does not have the same shape as figure W. The side - length ratios are not constant and the overall shape is different.

Answer:

Figure X is a dilation of figure W because it has the same shape and the side - lengths are in proportion with respect to the center of dilation V. Figures Y and Z are not dilations of figure W.