Question
Write the coordinates of the vertices after a rotation 180° clockwise around the origin. U is 5,0, T is 5,-6, V is 7,-7
Answers
GPT-4o mini
To perform a 180° clockwise rotation around the origin, you can use the following transformation for each coordinate point \((x, y)\):
\[
(x, y) \rightarrow (-x, -y)
\]
Now, let's apply this transformation to each of the given points:
1. **Point U (5, 0)**:
\[
U' = (-5, -0) = (-5, 0)
\]
2. **Point T (5, -6)**:
\[
T' = (-5, 6)
\]
3. **Point V (7, -7)**:
\[
V' = (-7, 7)
\]
So, the coordinates of the vertices after a 180° clockwise rotation around the origin are:
- U' = (-5, 0)
- T' = (-5, 6)
- V' = (-7, 7)
\[
(x, y) \rightarrow (-x, -y)
\]
Now, let's apply this transformation to each of the given points:
1. **Point U (5, 0)**:
\[
U' = (-5, -0) = (-5, 0)
\]
2. **Point T (5, -6)**:
\[
T' = (-5, 6)
\]
3. **Point V (7, -7)**:
\[
V' = (-7, 7)
\]
So, the coordinates of the vertices after a 180° clockwise rotation around the origin are:
- U' = (-5, 0)
- T' = (-5, 6)
- V' = (-7, 7)