Let T be the triangle in the coordinate plane with vertices (0,0),(4,0), and (0,3). Consider the following five isometries (rigid transformations) of the plane: rotations of 90^{\circ}, 180^{\circ}, and 270^{\circ} counterclockwise around the origin, reflection across the x-axis, and reflection across the y-axis. How many of the 125 sequences of three of these transformations (not necessarily distinct) will return T to its original position? (For example, a 180^{\circ} rotation, followed by a reflection across the x-axis, followed by a reflection across the y-axis will return T to its original position, but a 90^{\circ} rotation, followed by a reflection across the x-axis, followed by another reflection across the x-axis will not return T to its original position.)
Answer Choices
A. 12
B. 15
C. 17
D. 20
E. 25