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When you dilate a polygon (triangle, quadrilateral, etc.) all sides undergo the same change in size using the same scale factor. All sides after the dilation are in the same ratio to what they were before the dilation. That means the new polygon (after dilation) and the original polygon are similar polygons.
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Here is an example with squares. |dw:1405019177225:dw|
|dw:1405019239365:dw|
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