"I can hear someone out the back and I -- I'm not sure if she's having sex or being raped," Ruszczyk tells the 911 operator, according to the transcript released by police.
"It's been going on for a while and I think she tried to say help and it sounds distressed," she adds.
"OK, I've already got an officer on the way," the 911 operator tells her.
Ruszczyk called 911 again about eight minutes later, expressing concern that police hadn't arrived yet.
According to the transcript, the operator answers: "911, what is the address of the emergency?"
"I just reported one but no one's here and was wondering if they got the address wrong," Ruszczyk says.
"Are you Justine?" the operator asks. "You're hearing a female screaming?"
"Yeah," Ruszczyk responds. "Yes, along behind the house.
"Yup, officers are on the way there," the operator says.
Two officers from the Minneapolis Police Department, identified by authorities as Matthew Harrity and Mohamed Noor, responded to Ruszczyk's call Saturday night.
Harrity was driving the squad car, while Noor was in the passenger seat, according to the Minnesota Department of Public Safety. As they neared Ruszczyk's home, Harrity indicated that he was startled by a loud sound near the car, after which Ruszczyk immediately approached the driver's side, authorities said.
Noor then fired his weapon, striking Ruszczyk through the driver's side window, which was open, the Minnesota DPS said. The officers provided medical assistance to Ruszczyk until medics arrived but she was pronounced dead at the scene, authorities said.
The Hennepin County Medical Examiner's Office confirmed Monday that Ruszczyk died of a single gunshot wound to her abdomen.
Both officers have been placed on standard paid administrative leave pending the investigation. Ruszczyk's death has been ruled a homicide.
Police have launched an internal affairs review of the officers' use of force.
The Minneapolis Star Tribune said the woman was Australian and went by the name Justine Damond, using the last name of her fiance, Don Damond.
"Her maiden name was Justine Ruszczyk," the Star Tribune reported. "While the couple were not yet married, Justine referred to herself as Damond on her personal website."
Ruszczyk's family -- most of whom are located in her native country of Australia -- said they have been in "constant contact" with U.S. and Australian officials in reference to the ongoing investigation of her death.
"We are in constant contact with the Australian Government, and representatives of the US Government and Minnesota State authorities," the family said in a statement Thursday. "We want to see the investigation come to a conclusion, as soon as possible, so we have some resolution to the tragedy."
ABC News' Karma Allen, James Hill and Joshua Hoyos contributed to this report.