Answer:
Option B is correct.
The coordinate of A' is (-2 , -1)
Explanation:
The coordinates of ABCD are A = (-1,2) , B(1,1) , C =(1,-1) and D(-2,-2).
Rotation means moving the shape around a fixed point clockwise or anticlockwise, and by a certain number of degrees.
Rule for 90° counterclockwise rotation about the origin: ![(x,y) \rightarrow (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Crightarrow%20%28-y%2Cx%29)
or we can say that switch x and y in the coordinates and make y value opposite.
Then, the coordinate of A' :
![A(-1,2) \rightarrow A'(-2 ,-1)](https://tex.z-dn.net/?f=A%28-1%2C2%29%20%5Crightarrow%20A%27%28-2%20%2C-1%29%20)
Therefore, the coordinate of A' in the quadrilateral A'B'C'D' is, (-2 ,-1)