Question

Write the coordinates of the vertices after a rotation 90° clockwise around the origin.
A= 1,3
B= 1,9
C= 6,9
D= 6,3

Answer 1

To rotate each point 90° clockwise around the origin, you can use the following transformation formula:

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

Now, let's apply this transformation to each of the vertices.

1. **For point A (1, 3)**:
\[
(1, 3) \rightarrow (3, -1)
\]

2. **For point B (1, 9)**:
\[
(1, 9) \rightarrow (9, -1)
\]

3. **For point C (6, 9)**:
\[
(6, 9) \rightarrow (9, -6)
\]

4. **For point D (6, 3)**:
\[
(6, 3) \rightarrow (3, -6)
\]

Now, the coordinates of the vertices after a 90° clockwise rotation around the origin are:

- A' = (3, -1)
- B' = (9, -1)
- C' = (9, -6)
- D' = (3, -6)