Answer:
The triangle OWL rotated 90° counterclockwise about the origin to get O'W'L' or the triangle OWL rotated 270° clockwise about the origin to get O'W'L'.
Step-by-step explanation:
From the given figure it is clear that the vertices of OWL are O(1,2), W(3,1) and L(2,-2).
The vertices of O'W'L' are O'(-2,1), W'(-1,3) and L'(2,2).
The relation between pre-image and image is
[tex](x,y)\rightarrow (-y,x)[/tex]
If a figure rotated 90 counterclockwise about the origin or rotated 270 clockwise about the origin, then relation between pre-image and image is
[tex](x,y)\rightarrow (-y,x)[/tex]
Therefore the he triangle OWL rotated 90° counterclockwise about the origin to get O'W'L' or the triangle OWL rotated 270° clockwise about the origin to get O'W'L'.
