Final answer:
The transformation is an isometric translation because it preserves the shapes' congruent side lengths and angles, meeting the criteria for such a transformation.
Step-by-step explanation:
The question is asking whether a transformation that maps one figure to another, where side lengths are congruent, and angles are preserved, can be classified as an isometric translation. An isometric translation is a type of transformation that moves every point of a figure the same distance in the same direction without changing the shape or size of the figure. Given the properties described - congruent side lengths and preserved angles - the correct response would be A. Yes, the side lengths in the two figures are congruent. This is because isometric translations maintain the distances and angles between points in a plane; therefore, side lengths and angles remain equal in both the pre-image and the image.