ANSWER
D. A'(-5,0), B'(0,9) and (2,6)
EXPLANATION
The coordinates of triangle ABC are A(0,-5), B(-9,0) and C(-6,2).
A rotation of 90° clockwise about the origin has the mapping,
Therefore the image triangle has vertices
A'(-5,0), B'(0,9) and C'(2,6)
The correct choice is D.