Question
Figure
was rotated by
counterclockwise about the center of rotation shown.
A quadrilateral labeled Q and a solid point that represents the center of rotation.
Which figure is the image of
?
Choose 1 answer:
Choose 1 answer:
(Choice A) A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral A. The solid point represents the center of rotation. The quadrilateral is rotated to the left of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 11 o'clock.
A
A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral A. The solid point represents the center of rotation. The quadrilateral is rotated to the left of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 11 o'clock.
(Choice B) A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral B. The solid point represents the center of rotation. The quadrilateral is flipped across a horizontal line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 10 o'clock.
B
A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral B. The solid point represents the center of rotation. The quadrilateral is flipped across a horizontal line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 10 o'clock.
(Choice C) A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral C. The solid point represents the center of rotation. The quadrilateral is flipped across a vertical line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 4 o'clock.
C
A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral C. The solid point represents the center of rotation. The quadrilateral is flipped across a vertical line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 4 o'clock.
(Choice D) A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral D. The solid point represents the center of rotation. The quadrilateral is rotated to the right of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 5 o'clock.
D
A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral D. The solid point represents the center of rotation. The quadrilateral is rotated to the right of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 5 o'clock.
was rotated by
counterclockwise about the center of rotation shown.
A quadrilateral labeled Q and a solid point that represents the center of rotation.
Which figure is the image of
?
Choose 1 answer:
Choose 1 answer:
(Choice A) A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral A. The solid point represents the center of rotation. The quadrilateral is rotated to the left of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 11 o'clock.
A
A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral A. The solid point represents the center of rotation. The quadrilateral is rotated to the left of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 11 o'clock.
(Choice B) A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral B. The solid point represents the center of rotation. The quadrilateral is flipped across a horizontal line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 10 o'clock.
B
A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral B. The solid point represents the center of rotation. The quadrilateral is flipped across a horizontal line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 10 o'clock.
(Choice C) A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral C. The solid point represents the center of rotation. The quadrilateral is flipped across a vertical line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 4 o'clock.
C
A quadrilateral labeled Q and a flipped copy of it, labeled quadrilateral C. The solid point represents the center of rotation. The quadrilateral is flipped across a vertical line. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 4 o'clock.
(Choice D) A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral D. The solid point represents the center of rotation. The quadrilateral is rotated to the right of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 5 o'clock.
D
A quadrilateral labeled Q and a rotated copy of it, labeled quadrilateral D. The solid point represents the center of rotation. The quadrilateral is rotated to the right of center. One vertex of quadrilateral Q is at 8 o'clock, and the corresponding vertex of the rotated copy is at 5 o'clock.
Answers
GPT-4o mini
Based on the description of each choice, the task is to identify the correct image of quadrilateral Q after it has been rotated counterclockwise around the center of rotation.
**Analysis of Choices:**
1. **Choice A**: Describes a counterclockwise rotation from 8 o'clock to 11 o'clock. This matches the condition of being rotated counterclockwise about the center.
2. **Choice B**: Describes a flip across a horizontal line. This is not a rotation.
3. **Choice C**: Describes a flip across a vertical line. This is also not a rotation.
4. **Choice D**: Describes a clockwise rotation from 8 o'clock to 5 o'clock. This is not a counterclockwise rotation.
**Conclusion**:
The only choice that describes a counterclockwise rotation of quadrilateral Q is **Choice A**.
Therefore, the correct answer is **Choice A**.
**Analysis of Choices:**
1. **Choice A**: Describes a counterclockwise rotation from 8 o'clock to 11 o'clock. This matches the condition of being rotated counterclockwise about the center.
2. **Choice B**: Describes a flip across a horizontal line. This is not a rotation.
3. **Choice C**: Describes a flip across a vertical line. This is also not a rotation.
4. **Choice D**: Describes a clockwise rotation from 8 o'clock to 5 o'clock. This is not a counterclockwise rotation.
**Conclusion**:
The only choice that describes a counterclockwise rotation of quadrilateral Q is **Choice A**.
Therefore, the correct answer is **Choice A**.