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)

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