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square wxyz was dilated by a scale factor of 3 to create square wxyz. w…

Question

square wxyz was dilated by a scale factor of 3 to create square wxyz. which point is the center of dilation? (1 point)
○ b
○ a
○ d
○ c

Explanation:

Step1: Recall the property of dilation center

The center of dilation is the fixed point about which a figure is dilated. In a dilation, corresponding points of the original and dilated figure lie on straight lines that pass through the center of dilation.

Step2: Analyze the given squares

For square \(WXYZ\) and its dilated square \(W'X'Y'Z'\), we check the lines connecting corresponding vertices. The lines \(WW'\), \(XX'\), \(YY'\), \(ZZ'\) all pass through point \(C\).

Answer:

C.