Select the transformation that will not produce an image of the quadrilateral that is similar to the preimage

Question

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)

Quizzma Team · Answer

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).

Select the transformation that will not produce an image of the quadrilateral that is similar to the preimage

1 Answer