Question
Write the coordinates of the vertices after a rotation 90° clockwise around the origin. G is 9,-1, H is 10,-8, F is 9,-9
Answers
GPT-4o mini
To rotate a point \((x, y)\) 90° clockwise around the origin, you can use the following transformation:
\[
(x', y') = (y, -x)
\]
Now, let's apply this transformation to each of the points G, H, and F.
1. **Point G (9, -1)**:
\[
G' = (-1, -9)
\]
2. **Point H (10, -8)**:
\[
H' = (-8, -10)
\]
3. **Point F (9, -9)**:
\[
F' = (-9, -9)
\]
So the coordinates of the vertices after a 90° clockwise rotation around the origin are:
- \(G' = (-1, -9)\)
- \(H' = (-8, -10)\)
- \(F' = (-9, -9)\)
\[
(x', y') = (y, -x)
\]
Now, let's apply this transformation to each of the points G, H, and F.
1. **Point G (9, -1)**:
\[
G' = (-1, -9)
\]
2. **Point H (10, -8)**:
\[
H' = (-8, -10)
\]
3. **Point F (9, -9)**:
\[
F' = (-9, -9)
\]
So the coordinates of the vertices after a 90° clockwise rotation around the origin are:
- \(G' = (-1, -9)\)
- \(H' = (-8, -10)\)
- \(F' = (-9, -9)\)