Question

what are rigid transformations? 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 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 congruent images. these are translation, reflection, and

Explanation:

First, recall the definition of rigid transformations: they preserve the shape and size of a figure, resulting in congruent images. Dilation is a non - rigid transformation as it changes the size. Let's analyze each option:

• Option 1: Says rigid transformations create images of different size (includes dilation) – incorrect, as rigid transformations preserve size.
• Option 2: Includes dilation (non - rigid) – incorrect.
• Option 3: Includes dilation (non - rigid) – incorrect.
• The last option (assuming the full option is "Rigid transformations are transformations that create congruent images. These are translation, reflection, and rotation") is correct because translation, reflection, and rotation preserve both shape and size (create congruent images), and do not include dilation (which is non - rigid).

Answer:

The correct option is the one with the description: "Rigid transformations are transformations that create congruent images. These are translation, reflection, and rotation" (the last option in the given list, assuming the full text is as inferred).