this is very simple all you need to do is draw some sort of line some where through the middle and if it looks like you can fold it and it will be even on both sides then it is symmetric. other wise it is not. if there is a problem in which there is already a line and it is not exactly through the middle then it is not symmetric but as is you also need to watch for if there is a line through it and it is exactly in the middle AND you can fold it while it is even then it is symmetric.
i hope this method helps:)
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