BARRON, Wis. — A Wisconsin man accused of abducting 13-year-old Jayme Closs and holding her captive for three months made up his mind to take her when he spotted the teenager getting on a school bus near her home, authorities said Monday.

Jake Thomas Patterson, 21, told detectives that “he knew that was the girl he was going to take,” and he made two aborted trips to her family’s home before finally carrying out an attack in which he fatally shot Jayme’s mother in front of her, according to a criminal complaint filed hours before Patterson’s first court appearance.

Prosecutors charged him with kidnapping Jayme and killing her parents Oct. 15 near Barron, about 90 miles northeast of Minneapolis. He was also charged with armed robbery.

Investigators believe Patterson hid Jayme in a remote cabin before she escaped on Thursday. Police have said the two did not know each other.

Patterson sat expressionless during the court appearance, which he made via video feed from the county jail. He spoke only to acknowledge that his name and address were correct on paperwork and that he agreed to waive a speedy preliminary hearing. The judge set bail at $5 million.

Patterson went to the home twice intending to kidnap Jayme, but broke off one attempt because too many cars were in the driveway and called off another because the house was too active, the complaint said.

On the night she was abducted, Jayme told police, she was asleep in her room when the family dog started barking. She woke her parents as a car came up the driveway.

She and her mother, Denise, hid in the bathroom, clutching one another in the bathtub with the shower curtain pulled shut. Her father, James, went to the front door. They heard a gunshot, and Jayme knew that James had just been killed, according to the complaint.

Denise Closs started to call 911. Patterson broke down the bathroom door. Jayme said he was dressed in black, wearing a face mask and gloves and carrying a shotgun, the complaint said.

Patterson told her mother to hang up and ordered her to tape Jayme’s mouth shut. He told detectives that Denise Closs struggled with the tape so he wrapped the tape himself around Jayme’s mouth and head. He then taped her hands behind her back and taped her ankles together before pulling her out of the bathtub and shooting her mother in the head.

He dragged Jayme outside, nearly slipping in blood pooled on the floor. He threw her in the trunk and drove off, pausing to yield to three squad cars speeding toward the house with flashing lights, the complaint said.