Question
If triangle DEF is rotated 180 degrees clockwise around the origin, what will be the coordinates of point E' in the image?
Answers
GPT-4o mini
To find the coordinates of point E' after triangle DEF is rotated 180 degrees clockwise around the origin, we follow these steps:
1. **Identify the original coordinates of point E.** Let's denote the coordinates of point E as \( (x_E, y_E) \).
2. **Apply the rotation transformation.** A 180-degree rotation around the origin transforms any point \( (x, y) \) to \( (-x, -y) \).
3. **Calculate the new coordinates.** Thus, after a 180-degree clockwise rotation, the coordinates of point E' will be:
\[
E' = (-x_E, -y_E)
\]
If you provide the original coordinates of point E, I can give you the exact coordinates for E' after the rotation.
1. **Identify the original coordinates of point E.** Let's denote the coordinates of point E as \( (x_E, y_E) \).
2. **Apply the rotation transformation.** A 180-degree rotation around the origin transforms any point \( (x, y) \) to \( (-x, -y) \).
3. **Calculate the new coordinates.** Thus, after a 180-degree clockwise rotation, the coordinates of point E' will be:
\[
E' = (-x_E, -y_E)
\]
If you provide the original coordinates of point E, I can give you the exact coordinates for E' after the rotation.