Parents of students at Greenwich High School are frustrated with how school officials handled a possible online threat.

Police say they increased their presence around the school as a result of the menacing message.

Officials tell News 12 Connecticut that they did not want to overwhelm parents. Instead, school officials sent out an email last night assuring parents and students that the building was safe and that the school day could go on as usual.

According to some parents, the school's email was not comforting.

"It was confusing because it was just a vague email," says Kim-Marie Evans, a mother of a Greenwich High School student. "They said they got a threat, they got it last night, but today they have police. I wasn't sure what the threat was. What does increased police presence mean?"

Lieutenant Kraig Gray says school officials and police could have done more to ease parents' worries by just being a little more transparent.

"We see it every day," he says. "You can't be vague and think that everybody is going to trust that you've got this covered."

Police say they will increase their presence around schools Wednesday as well.

News 12 Connecticut reached out to school officials for a comment but did not receive a response.