Answer:
The rotation is 270 degrees counterclockwise
Explanation:
Given
See attachment
Required
Degrees of rotation
From the question, the rotation is counterclockwise
Using point B and B' as points of reference.
![B =(2,5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/2iasqxf1sxq7876etmvkjbvrtfq2s237t7.png)
![B' =(5,-2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/yyrexfon5wq5cvakqxieyie4s3ax8lse20.png)
The rule that supports the above is: rotation by 270 degrees counterclockwise.
Because the rule is:
![(x,y) ==>(y,-x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ych88xfi2ughskkc1b7yxdclffia2ijnhk.png)