Question

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

Answer 1

To rotate a point \((x, y)\) by 90 degrees clockwise around the origin, the new coordinates can be calculated using the following transformation:

\[
(x', y') = (y, -x)
\]

Now, let's apply this transformation to each vertex:

1. For point D (6, 3):
\[
D' = (3, -6)
\]

2. For point A (1, 3):
\[
A' = (3, -1)
\]

3. For point C (6, 9):
\[
C' = (9, -6)
\]

4. For point B (1, 9):
\[
B' = (9, -1)
\]

Thus, the coordinates of the vertices after a 90° clockwise rotation around the origin are:
- D' = (3, -6)
- A' = (3, -1)
- C' = (9, -6)
- B' = (9, -1)