Lyles was a mother of four, one of her children has down syndrome, said her family.
The advocacy group MomsRising said Lyles had four children and was expecting a fifth.
One of the women, standing outside the apartment complex, said her sister was small of stature and had "mental health problems".
Williams said that her sister had been arrested earlier in the month by officers who had responded to a call after she had armed herself with a pair of scissors as protection against her boyfriend. "She called you, and you went to her house and killed her". "There's no way you could've taken a baton and knocked the knife out of her hand?"
Lyles originally called police to make a burglary complaint.
There were multiple children inside the apartment when the incident occurred; however, none of them were harmed.
Seattle officials agreed in 2012 to an independent monitor and federal court oversight of the department after a federal investigation found Seattle officers routinely used excessive force.More news: Police cite "road rage" in Muslim girl's death
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Lyles was black, and Isabell said he's frustrated with police killing black people across the country.
In a statement released with the audio, police noted that both officers were equipped with "less lethal force options". Lyles' family is concerned for her and they have a strong: "desire to stabilize her mental- health condition before it qets (sic) worse". Authorities alleged that at some point, Lyles pulled out a knife, prompting the officers to shoot. She tells them that she thinks there may have been a break-in.
The Seattle Police Department has released dash cam audio of the fatal shooting of a 30-year-old Black woman in Magnuson Park over the weekend.
"My thoughts are with the many people impacted, including three children and the responding officers", Murray said.
"There's no reason for her to be shot in front of her babies", Williams told journalists. "It breaks my heart that her children will grow up without a mother".
The SPD has confirmed that both officers were white, one, an 11-year veteran of the force and the other described as "newer to the department". Lyles then can be heard calmly talking with officers about what was taken from the fourth-floor apartment, including an Xbox video game device.
Neither officer is identified, and police say all names have been removed from the recording. "Get back!" and "We need help" before gunfire erupts.
The Seattle Police reported that detectives from their Force Investigation Team (FIT) will be investigating the use of force by police officers and that both officers who were involved in the incident will be placed on paid administration leave, in accordance with department policy.