Question

is this an example of rigid transformation? why or why not?
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, because this shows rotation, and rotating 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 not an example of a rigid transformation

Explanation:

To determine if it's a rigid transformation, recall: Rigid transformations (translation, rotation, reflection) preserve shape and size (congruent). The figure A to A' appears shifted (translation), not rotated or dilated. Translation is a rigid transformation as it creates a congruent image. The first option says it's a rigid transformation (translation) creating a congruent image, which matches. Other options: rotation is incorrect (no rotation), dilation (which changes size, not rigid) is incorrect, and "not rigid" is wrong as translation is rigid.

Answer:

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