Question

when reflecting the given preimage over the line y=x, is the image an isometry? no, the image will become larger than the preimage. yes, reflecting over the line y=x will create an isometry, but not all reflections do so. yes, all reflections maintain the same shape and size as the preimage. no, the image will be a different shape than the preimage.

Explanation:

An isometry is a transformation that preserves distance, shape, and size. Reflection is a type of isometry. No matter which line a pre - image is reflected over, the image will have the same shape and size as the pre - image.

Answer:

C. Yes, all reflections maintain the same shape and size as the preimage.