Question

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

Explanation:

A rigid transformation (rotation, reflection, translation) preserves the shape and size (congruence) of the figure. The preimage and image here are congruent (same shape, size) and the transformation involves rotation (the "missing" sector's orientation changes, indicating rotation) and translation (position change). The first option correctly states it's a rigid transformation (rotation + translation) creating a congruent image. Other options are incorrect: one says translation (but there's rotation too), another says non - congruent (wrong, rigid transformations preserve congruence), and the last says not a rigid transformation (wrong as it's congruent).

Answer:

The correct option is: "This is an example of a rigid transformation because this shows a rotation, and rotating the preimage creates a congruent image." (Assuming the first option with this description is the correct one among the given choices. If we consider the options as labeled (from left to right or top to bottom), for example, if the first option is the one with this description, then the answer is the first option with the text "This is an example of a rigid transformation because this shows a rotation, and rotating the preimage creates a congruent image.")