Answer:
Rotation about 90° counter clockwise (x , y) →→ ( -y, x ).
Step-by-step explanation:
Given : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices X'(–3, 1), Y'(0, 0), and Z'(–2, –1).
To find : Which rule describes the transformation.
Solution : We have given
vertices X(1, 3) →→ X'(–3, 1)
Y(0, 0) →→ Y'(0, 0),
Z(–1, 2) →→ Z'(–2, –1).
Here , we can see in each coordinates value of y become -x and x become y.
(x , y) →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.
Therefore, rotation about 90° counter clockwise (x , y) →→ ( -y, x ).