The Solution:
A dilation centered at point P with a scale factor of 1/2, and then a reflection over the line x=3 is best described by the option: The angle is preserved but the image is a reduction [option A]
Explanation:
A reflection of line x=3 will result in an extension of the original line, since the length of a side does not affect the enclosed angle, it follows that the angle is not changed.
A dilation by a scale factor of 1/2 means the original object will have to be multiplied by 1/2, which clearly will cause a reduction.
Therefore, the correct answer is option A.
