Question

interactive practice: understand dilations and similarity
jake says that figure wxy is dilated by a scale factor of 4 to form figure wxy. he also says the center of dilation is point z.
which mistake did jake make, if any?
the center of dilation is wrong. it should be on a vertex.
what is the center of dilation? complete the statement.
the center of dilation is at point ? w x y

Explanation:

Step1: Recall dilation concept

The center of dilation is the fixed - point about which a figure is dilated. It does not have to be on a vertex of the figure.

Step2: Analyze the given figures

To find the center of dilation, we can draw lines connecting corresponding vertices of the pre - image and the image. The point where these lines intersect is the center of dilation.

Step3: Identify the center

By drawing lines from \(W\) to \(W'\), \(X\) to \(X'\), and \(Y\) to \(Y'\), we can see that the lines intersect at point \(W\).

Answer:

The center of dilation is at point \(W\). Jake's mistake is that the center of dilation is wrong. It should be point \(W\) (and the center of dilation does not have to be on a vertex).