Is this cheating?

So this guy and I we were not in a committed relationship but we decided to date exclusively , he told me that he is not seeing anyone and vice versa.
then I found that he took another girl on a trip alone and lied to me that he is with his brother. I’m deeply hurt and feel betrayed.
is this cheating?
As I was not seeing anyone else except him and he didn’t respect our agreement. I cut him off.

Is this cheating?
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