“I haven’t heard that they closed the case; I’m sure it’s an open case until they find something,” Green said. “Typically with these situations, somewhere along the way they will pick someone up for driving by in a particular area and just shooting at buildings and homes, and ultimately they will find someone. But it’s hard to catch them in the act.”

“The investigation remains ongoing and active,” said Houston Police Department spokesman John Cannon of the criminal mischief inquiry.

“Right now it looks like acts of vandalism,” he added. “It would be speculative for us to say whether or not it was intended.”

The congressman has not bolstered his security in the wake of the shooting, nor have the Capitol Police directed him to augment his district office’s safeguards.

“I haven’t taken anything extra,” Green said. “We haven’t had any threats in a good while.”

“Since what happened to Congresswoman [Gabrielle] Giffords, I think most members like myself are pretty vigilant and aware of our surroundings, which everyone ought to whether you’re a member of Congress or not,” he added. “But, I don’t have police officers or anyone else going with me wherever I go.”

In January Rep. Gabrielle Giffords (D-Ariz.) was shot in the head at a constituent event in Tucson, Ariz. She is currently in recovery.

—This story was updated at 2:50 p.m.