Question

what are rigid transformations?

• rigid transformations are transformations that create images with the same shape and size. these include reflection, rotation, and dilation.
• rigid transformations are transformations that create congruent images. these are translation, reflection, and dilation.
• rigid transformations are transformations that create images with the same shape, but of different size. these are translation, reflection, rotation, and dilation.
• rigid transformations are transformations that create congruent images. these are translation, reflection, and cut off text

Explanation:

To determine the correct option about rigid transformations, we analyze each choice:

1. First option: Dilation is not a rigid transformation (it changes size), so this is incorrect.
2. Second option: Dilation is not a rigid transformation, so this is incorrect.
3. Third option: Rigid transformations preserve size (create congruent images), while this option says they change size (different size), so it is incorrect.
4. Fourth option (incomplete but logical): Rigid transformations create congruent images (same shape and size) and include translation, reflection, and rotation (these preserve size/shape). Assuming the fourth option correctly lists these (and excludes dilation), it is the right choice.

Answer:

(Assuming the fourth option is "Rigid transformations are transformations that create congruent images. These are translation, reflection, and rotation.")
The correct option (e.g., D, if labeled) with text: "Rigid transformations are transformations that create congruent images. These are translation, reflection, and rotation."