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This question already has an answer here:

Can you split this figure into two congruent pieces with a line? The line need not be straight. :D

enter image description here

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marked as duplicate by Community Feb 17 '18 at 5:56

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This cut satisfies the criteria (though I'm not sure if it's the only solution):

something fishy...

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answer

The cut is the red line. That green rectangle is a helper to make sure that, they are split in half!

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    $\begingroup$ Sorry! I made a huge mistake. I meant "Could you split this into two congruent shapes." Entirely my mistake. +1 For the currently correct Solution, though. Sorry about that. $\endgroup$ – NL628 Feb 17 '18 at 5:45

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