Question

What are the coordinate points of
𝐴
′
A
′

(
9
,

7
)
(9, 7) if
𝐴
A undergoes a rotation of:



90
°
90° clockwise



180
°
180° clockwise




270
°
270° clockwise

Answer 1

To find the new coordinates after rotation, we can use the following transformations:

1. **90° Clockwise Rotation**:
The formula for a 90° clockwise rotation around the origin (0,0) is:
\[
(x, y) \rightarrow (y, -x)
\]
For point \( A' (9, 7) \):
\[
A'' (7, -9)
\]

2. **180° Clockwise Rotation**:
The formula for a 180° rotation is:
\[
(x, y) \rightarrow (-x, -y)
\]
For point \( A' (9, 7) \):
\[
A'' (-9, -7)
\]

3. **270° Clockwise Rotation**:
The formula for a 270° clockwise rotation is:
\[
(x, y) \rightarrow (-y, x)
\]
For point \( A' (9, 7) \):
\[
A'' (-7, 9)
\]

### Summary of Rotated Coordinates:
- **90° Clockwise**: \( (7, -9) \)
- **180° Clockwise**: \( (-9, -7) \)
- **270° Clockwise**: \( (-7, 9) \)