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.