Question

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

Explanation:

Rigid transformations (translation, reflection, rotation) preserve the shape and size (congruent), while dilation changes size (non - congruent). The image shows a translation (moving without resizing/reflecting/dilating), so it's a rigid transformation as translation is a rigid transformation and creates a congruent image. The first option correctly states this: it's a rigid transformation (translation) creating a congruent image. The second option is wrong as reflection isn't shown and reflection is rigid (creates congruent, so "non - congruent" is wrong). The third option is wrong as dilation isn't shown and dilation is non - rigid, but the transformation here is rigid.

Answer:

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