Question

Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin. D is 0,1, C is 0,7, A is -7,1, B is -7,7

Answer 1

To find the coordinates of the vertices after a 180° counterclockwise rotation around the origin, we can use the following transformation rule for a point \((x, y)\):

\[
(x, y) \rightarrow (-x, -y)
\]

Now, let's apply this transformation to each of the given points:

1. Point D (0, 1):
\[
D' = (0, 1) \rightarrow (0, -1)
\]

2. Point C (0, 7):
\[
C' = (0, 7) \rightarrow (0, -7)
\]

3. Point A (-7, 1):
\[
A' = (-7, 1) \rightarrow (7, -1)
\]

4. Point B (-7, 7):
\[
B' = (-7, 7) \rightarrow (7, -7)
\]

Thus, the coordinates of the vertices after a 180° counterclockwise rotation around the origin are:

- D' = (0, -1)
- C' = (0, -7)
- A' = (7, -1)
- B' = (7, -7)