This is getting weird.?

I always have a mat outside my door so that we can clean our feet before entering the hse. Since yst our mat has gone missing and one of my mom shoes was missing too! We suspect it was a cat because they were traces of cat's poo just 2 metres from the mat. And this morning went missin too! It couldnt be a person because our gate is locked and there is NO way a person could hv entered. Its weird because in e morning we try to search within e proximity bt no no avail. Could the cat be so naughty?? Or could it be revengful cos my dad chased a cat away a few days ago by spraying water at it because it just refused to go away no matter what we did!