The Montgomery County Sheriff's Office arrived to the scene in the 11000 block of Canal Street around 2:30 p.m. Wednesday.
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The woman, who investigators say burglarized the home, was belligerent and unresponsive to commands to put down the knife, officials said.
During a press conference, officials said the knife-wielding woman advanced toward a sergeant.
"Fearing for the sergeant's safety and life, a four-year and six-year veteran (deputies) of the Montgomery County Sheriff's Office discharged their firearms, striking the female multiple times," the sheriff's office said.
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The woman was pronounced dead after first aid efforts failed.
An investigation is still ongoing.