The transformation performed on Trapezoid WXYZ preserved congruency.

When a transformation is said to preserve congruency, it means that the size and shape of the figure remain unchanged, though its position or orientation may be altered. For Trapezoid WXYZ, this implies that the corresponding sides and angles of the transformed trapezoid remain equal to those of the original trapezoid. Transformations that preserve congruency include:

1. **Translation**: Sliding the figure without rotating or flipping it.
2. **Rotation**: Turning the figure around a fixed point without altering its shape or size.
3. **Reflection**: Flipping the figure over a line, producing a mirror image.
4. **Glide Reflection**: A combination of reflection and translation.

If Trapezoid WXYZ was transformed and preserved congruency, one of these transformations was applied.

Would you like further details on how these transformations work? 

Here are five related questions you might explore:
1. What are the properties of congruent trapezoids?
2. How can you determine the type of transformation used based on the coordinates of WXYZ?
3. What are some examples of transformations that do not preserve congruency?
4. How do you prove two figures are congruent after a transformation?
5. Can multiple transformations be combined to achieve congruency preservation?

**Tip:** Always check if the corresponding sides and angles are equal to confirm congruency after a transformation.

Understand how transformations preserve congruency in Trapezoid WXYZ. Learn about translations, rotations, reflections, and glide reflections, and how they maintain the size and shape of the trapezoid. Suitable for high school students studying geometry.

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