Which explanation for the congruency of the trapezoids is correct?

Question

(1 point)
Responses

The trapezoids are congruent because ABCD was reflected over the line y=x .
The trapezoids are congruent because ABCD was reflected over the line y = x .

The trapezoids are congruent because ABCD was rotated 270° (counterclockwise).

The trapezoids are congruent because ABCD was rotated 270° (counterclockwise).

The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).

The trapezoids are congruent because ABCD was rotated 90° (counterclockwise).

The trapezoids are congruent because ABCD was translated left 4 units and up 2 units.

Answer 1

To determine which explanation for the congruency of the trapezoids is correct, we need to analyze the transformations described.

1. Reflection over the line y = x: This transformation would reflect the trapezoid across the line and would typically create a congruent figure.

2. Rotation 270° counterclockwise: This would also create a congruent figure by rotating the trapezoid around a point (typically the origin).

3. Rotation 90° counterclockwise: Similar to the previous rotations, this would produce a congruent figure.

4. Translation left 4 units and up 2 units: Translations also maintain the shape and size of a figure, resulting in congruency.

Since all transformations listed can result in congruent trapezoids, you might need additional context (like the specific trapezoids or a diagram) to determine which transformation is indeed the one that resulted in the congruent trapezoid. If you have that context in mind, please share, and I can help determine the correct explanation! Without additional information, any of the transformations described could lead to congruent trapezoids.