Question

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

Answer 1

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**.

Answer 2

CORRECT !! thanks!