Select the transformation that will not produce an image of the quadrilateral that is similar to the preimage.
(x, y) → (x – 2, y + 5)
(x, y) → (0.7x, 0.7y)
(x, y) → (2x, y + 3)
(x, y) → (-x, y)
Select the transformation that will not produce an image of the quadrilateral that is similar to the preimage
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The transformation that will not produce an image of the quadrilateral that is similar to the preimage is:
(x, y) → (2x, y + 3).
Explanation:
This transformation involves a dilation (scaling) by a factor of 2 in the x-direction, which changes the size of the figure, not just its shape. The other transformations either maintain the shape (like the scaling by a factor of 0.7) or involve only translations and reflections that keep the similarity intact. To create similar shapes, we can only use uniform scaling or rigid transformations (translations and reflections).