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A preimage and image are congruent in a rotation always sometimes or never?
Sometimes
Is preimage and image are congruent in a translation?
true
How can the orientation of the image compare with the orientation of the preimage?
Well, honey, when we talk about the orientation of an image compared to the preimage, we're looking at whether the image is flipped, turned, or stayed the same. If the image is flipped, we call it a reflection; if it's turned, we call it a rotation. And if it stayed the same, well, that's just boring old identity. So, in a nutshell, the orientation can change through reflection or rotation, or it can stay the same.
Which transformation does not always result in an image that is congruent to the original figure?
A dilation (or scaling) is a transformation that does not always result in an image that is congruent to the original figure. While translations, rotations, and reflections always produce congruent figures, dilations change the size of the figure, which means the image may be similar to, but not congruent with, the original figure.
Identify the transformation where the image has the same orientation as the preimage?
A translation
