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Yes:

. . . . . . . . . . . . . . .

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. | . . . . . . . . . . . | .

. | . # . . . . . # . | .

. | . # . . . . . # . | .

. | . # . . . . . # . | .

. | . # . . . . . # . | .

. | . . . . . . . . . . . | .

. ----------------- .

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The #s represent two shaded rectangles in the line marked square (sorry for the wiggly line).

The square has two lines of symmetry: running centre top to centre bottom & centre left to centre right.

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Q: Can you shade in 2 rectangles in a square with 2lines of symmetry?
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