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It means literally if you reflected the object through the centre of the image, at a specific angle, in a mirror you would get the same image on the mirror with that on the other side.

So or example the letter A has one line of reflectional symmetry because if you put a mirror vertically along it, you would see the same image on the mirror as the side that you weren't looking at.

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Q: What does reflectional symmetry mean in math?
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