Question

is this an example of rigid transformation? why or why not? this is not an example of a rigid transformation, because this shows reflection, and reflecting the preimage creates a non - congruent image. this is an example of a rigid transformation because this shows dilation, and dilating the preimage creates a congruent image. this is an example of a rigid transformation because this shows a translation, and translating the preimage creates a congruent image. this is not an example of a rigid transformation

Explanation:

To determine if it's a rigid transformation, we recall: Rigid transformations (translation, reflection, rotation) preserve size and shape (create congruent images). Dilations are non - rigid (change size). The figure here looks like a translation (sliding without changing size/shape).

• First option: Incorrect, as it's not a reflection (the orientation and position suggest translation, not reflection, and reflection would flip over an axis, here it's a slide).
• Second option: Incorrect, dilation changes size, but the image and pre - image look same size, so no dilation.
• Third option: Correct. Translation is a rigid transformation, and translating the pre - image creates a congruent image (same size, shape, just moved).

Answer:

This is an example of a rigid transformation because this shows a translation, and translating the preimage creates a congruent image.