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consider applying the following transformations to a given figure. Which ones will produce a figure that is similar but not congruent? select all that apply.

a dilation with a scale factor 0.75
a 180 degree rotation
a reflection across a horizontal line
a translation to the right

2 answers

To determine which transformations will result in a figure that is similar but not congruent, we need to analyze each transformation:

  1. A dilation with a scale factor of 0.75: This transformation changes the size of the figure but maintains the shape. Since the size is different, the figure will be similar but not congruent. (Select this option)

  2. A 180 degree rotation: This transformation preserves the size and shape of the figure. It merely changes the orientation, so the figure remains congruent. (Do not select this option)

  3. A reflection across a horizontal line: Like the rotation, a reflection also preserves size and shape, maintaining congruence. (Do not select this option)

  4. A translation to the right: This transformation also keeps the size and shape of the figure unchanged, maintaining congruence. (Do not select this option)

Based on this analysis, the only transformation that produces a figure that is similar but not congruent is:

  • A dilation with a scale factor of 0.75.
CORRECT !! thanks!