WRITE Which properties of a figure are preserved under a rotation from the preimage to the image? Explain. Select all that apply. A) Angle measures are preserved because angle measures remain the same measure. B) Parallelism is preserved because parallel lines remain parallel. C) Position is preserved because the image and the preimage are congruent. D) Distance is preserved because the lengths of segments remain the same measure. E) Collinearity is preserved because points remain on the same lines.

When a figure is rotated, several properties remain unchanged, giving rise to some fun geometric facts! First off, angle measures are absolutely preserved; every angle maintains its original measurement despite the twist and turn. Next up, you can take a look at lines: parallel lines stay parallel after the rotation, maintaining that cool vibe of being side-by-side no matter how you spin it! Additionally, another nifty property is that distance stays the same; the lengths of segments don’t get stretched or squished, they’re just as long as they were before the rotation. All those points? They just shift around, but they stay on the same lines, proving that collinearity is also preserved during the rotation dance! So, to sum it up, the correct answers include A, B, D, and E! Each of these properties shows just how magical and consistent geometry can be, even when it's doing a little pirouette.