Show the reflections over the line do not have group structure?

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ktusurveyor
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hey,

how can ı show the reflections over the line do not have group structure?

--reflection of the real plane ------
 
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Welcome to PF!

Hi ktusurveyor! Welcome to PF! :smile:

(please wait for replies, do not send out PMs)

Hint: what are the conditions for a set to be a group?

which of those conditions are not met by reflections?
 

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