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rectangle a is dilated to form rectangle a. which figure shows the poin…

Question

rectangle a is dilated to form rectangle a. which figure shows the point that is the center of the dilation?

Explanation:

Step1: Recall dilation property

In a dilation, all points of the original figure and the dilated figure are related to the center of dilation.

Step2: Use line - connection method

Draw lines from corresponding vertices of \(A\) and \(A'\).

Step3: Identify the center

The intersection of these lines is the center of dilation.

Answer:

The figure where the lines connecting corresponding vertices of rectangle \(A\) and rectangle \(A'\) intersect at a single - point is the correct one. Without specific options labeled, it's hard to give a definite choice. But conceptually, the center of dilation is the fixed point from which all points are expanded or contracted. When you draw lines from each vertex of the original rectangle \(A\) to the corresponding vertex of the dilated rectangle \(A'\), the point where these lines meet is the center of dilation.