The true statements are The sides of the image and pre-image are congruent, The image could be moved left or right, and The image could be moved up or down. So, the correct options are A, C and D.
A translation is a geometric transformation in which a shape is moved from one location to another without changing its size or orientation. In other words, a translation is a slide.
In the image, we can see that the shape has been translated to the right. The sides of the original shape (the pre-image) and the translated shape (the image) are still the same length. This means that the corresponding sides are congruent.
For example, if we measure the side of the square in the pre-image, it is the same length as the corresponding side of the square in the image. This is true for all of the sides of the shapes.
Therefore, the true statements about the translation are the sides of the image and pre-image are congruent, The image could be moved left or right, and The image could be moved up or down.
The probable question may be:
"What are the true statements about the translation? Select 3 options.
A. The sides of the image and pre-image are congruent
B. The image could be turned upside down.
C. The image could be moved left or right
D. The image could be moved up or down"