Question
(8.G.A.1) Which of the following best describes the rotation shown?
(10 Points)
∆S' T' U' is a 90° rotation of ∆STU about point P
∆S' T' U' is a 180° rotation of ∆STU about point P
∆S' T' U' is a 270° rotation of ∆STU about point P
∆S' T' U' is a 360° rotation of ∆STU about point P
7
(8.G.A.1) Which figure shows ABCD rotated 180 degrees about point N?
(10 Points)
(10 Points)
∆S' T' U' is a 90° rotation of ∆STU about point P
∆S' T' U' is a 180° rotation of ∆STU about point P
∆S' T' U' is a 270° rotation of ∆STU about point P
∆S' T' U' is a 360° rotation of ∆STU about point P
7
(8.G.A.1) Which figure shows ABCD rotated 180 degrees about point N?
(10 Points)
Answers
GPT-4o mini
To determine which option accurately describes the rotation of triangle \( \Delta STU \) to \( \Delta S'T'U' \) about point \( P \), you would need to analyze the positions of the points before and after the rotation.
1. **90° Rotation** – A 90° rotation means the shape turns a quarter turn around the point.
2. **180° Rotation** – A 180° rotation flips the shape upside down or turns it half a circle.
3. **270° Rotation** – A 270° rotation is equivalent to a 90° rotation in the opposite direction.
4. **360° Rotation** – A 360° rotation means the shape stays in the same position, having gone full circle.
You will need to observe the positions of \( S, T, U \) and \( S', T', U' \) to see how they changed in relation to point \( P \).
### For the second question regarding figure ABCD:
If you’re trying to identify which figure results from a 180-degree rotation about point \( N \), visualize it in your mind, or if provided with figures, look for the one where each point of ABCD has moved directly across point \( N \) to a point exactly opposite. Generally, for a 180-degree rotation:
- Point A would move to a point directly opposite across point N, and the same goes for points B, C, and D.
If you need further assistance or clarification, please provide a visual of the figures for more accurate help.
1. **90° Rotation** – A 90° rotation means the shape turns a quarter turn around the point.
2. **180° Rotation** – A 180° rotation flips the shape upside down or turns it half a circle.
3. **270° Rotation** – A 270° rotation is equivalent to a 90° rotation in the opposite direction.
4. **360° Rotation** – A 360° rotation means the shape stays in the same position, having gone full circle.
You will need to observe the positions of \( S, T, U \) and \( S', T', U' \) to see how they changed in relation to point \( P \).
### For the second question regarding figure ABCD:
If you’re trying to identify which figure results from a 180-degree rotation about point \( N \), visualize it in your mind, or if provided with figures, look for the one where each point of ABCD has moved directly across point \( N \) to a point exactly opposite. Generally, for a 180-degree rotation:
- Point A would move to a point directly opposite across point N, and the same goes for points B, C, and D.
If you need further assistance or clarification, please provide a visual of the figures for more accurate help.