Final answer:
The trapezoid W'X'Y'Z' is congruent to trapezoid WXYZ after undergoing a combination of rotation and reflection, which preserves congruency and alters its orientation.
Step-by-step explanation:
You asked which transformations were used to create congruent trapezoid W'X'Y'Z' from trapezoid WXYZ. To determine this, we need to understand that rotations in the coordinate system alter the position without changing the shape or size, which means the figures remain congruent after the transformation.
A rotation of 90° clockwise about the origin would change the orientation of the trapezoid but not its size or shape. The same applies to a 180° rotation. However, a reflection across an axis also results in a congruent figure but with an orientation that mirrors the original across the given axis.
If the trapezoid W'X'Y'Z' is a mirrored image of WXYZ across the y-axis and also rotated 180°, it implies that the original trapezoid underwent a combination of rotation and reflection. These are transformations that preserve congruency while altering the orientation of the figure.