Mirrors and other objects that are reflective have smooth surfaces, so light reflects off of them in a predictable way, which is why you get images. White objects have rough surfaces, so light scatters in all directions and you don’t get a good image. Imagine throwing a ball against a flat wall (____) versus a jagged wall (^^^^). You can make a good prediction about where the ball goes with the flat wall, but with the jagged wall the ball could go anywhere.
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