If Freddie's father is 180 centimeters tall, and Freddie is one meter shorter than his father, then Freddie's height is \(180 - 100 = 80\) centimeters.
Since Freddie is half as tall as his mother, then his mother's height would be twice Freddie's height:
\(80 \times 2 = 160\) centimeters.
So, Freddie's mother is 160 centimeters tall.
Hope this helps!