Question

R= 0,-8
S= 9,-8
T= 0,-4
Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin.

Answer 1

To rotate a point \((x, y)\) 180° counterclockwise around the origin, the new coordinates become \((-x, -y)\).

Let's apply this to each of the points R, S, and T:

1. **Point R (0, -8)**:
\[
R' = (-0, -(-8)) = (0, 8)
\]

2. **Point S (9, -8)**:
\[
S' = (-9, -(-8)) = (-9, 8)
\]

3. **Point T (0, -4)**:
\[
T' = (-0, -(-4)) = (0, 4)
\]

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

- R' = (0, 8)
- S' = (-9, 8)
- T' = (0, 4)