Question

image
preimage
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 rotation, and rotating 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.

Explanation:

Step1: Recall Rigid Transformations

Rigid transformations (translation, rotation, reflection) preserve the shape and size (congruent). Dilation is non - rigid (changes size, non - congruent).

Step2: Analyze the Graph

The preimage and image are congruent (same shape, size). The transformation here is a translation (shifting vertically). Translation is a rigid transformation.

Step3: Evaluate Options

• Option 1: Says it's a rigid transformation (translation) creating a congruent image. This matches.
• Option 2: Claims rotation, but the graph shows translation, not rotation. Eliminate.
• Option 3: Says it's not a rigid transformation, but translation is rigid. Eliminate.
• Option 4: Says it's not a rigid transformation (dilation), but the transformation is translation (rigid). Eliminate.

Answer:

This is an example of a rigid transformation because this shows a translation, and translating the preimage creates a congruent image. (The option corresponding to this description)