Final answer:
Without an image or coordinates, it is not possible to determine the exact transformation of the trapezoid from ABCD to A'B'C'D'. Reflections across the x-axis and y-axis change y-coordinates and x-coordinates, respectively.
Step-by-step explanation:
The question is asking to identify the algebraic rule that describes the transformation of trapezoid ABCD to A'B'C'D'. The two options provided are reflection across the x-axis (rx-axis) and reflection across the y-axis (ry-axis). Without additional information or an image to determine the exact transformation, it is not possible to provide an accurate answer. Generally, a reflection over the x-axis changes the sign of the y-coordinates of points, while a reflection over the y-axis changes the sign of the x-coordinates of points. To determine which rule applies, one would need to examine the coordinates of the vertices of the original trapezoid and its image after transformation.