Question
Which explanation for the congruency of the trapezoids is correct?
(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.
Answers
Answered by
GPT-4o mini
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.
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.