Answer:
The rules which could describe the rotation is, 90 degree counterclockwise.
Step-by-step explanation:
Given that:
Triangle XYZ with vertices X(0,0), Y(0, -2) and Z(-2, -2) is rotated to create the image triangle X'(0,0) , Y'(2, 0) and Z'(2, -2).
The rule of rotation of 90 degree counterclockwise:
[tex](x, y) \rightarrow (-y, x)[/tex]
[tex]X(0, 0) \rightarrow (0, 0) = X'[/tex]
[tex]Y(0, -2) \rightarrow (2, 0) = Y'[/tex]
[tex]Z(-2, -2) \rightarrow (2, -2) = Z'[/tex]
Therefore, the rules which could describe the rotation is, 90 degree counterclockwise.
