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Which graph shows a Dilation?

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A dilation changes the size of a figure while keeping its shape the same. It either enlarges or reduces the figure proportionally.

Looking at the graphs:

  • The first and third graphs show a larger rectangle and a smaller rectangle, keeping the same shape.

  • The second graph shows a reduction in size, which is also a dilation.

  • This fourth graph shows a dilation because the smaller rectangle is an enlarged version of the original. The shape stays the same, but its size has increased while remaining proportional.

    The dilation likely happened from the center of dilation (which could be the origin or another point), making the shape expand outward.

The second graph is the correct answer because the smaller rectangle is a scaled-down version of the original, showing a reduction dilation with the same center.