Question

Write the coordinates of the vertices after a rotation 180° clockwise around the origin. T is 10,2, S is 10,8, Q is 6,2, R is 6,8

Answer 1

To find the coordinates of the vertices after a 180° clockwise rotation around the origin, you can use the transformation rule for rotations. A 180° rotation around the origin changes the coordinates \((x, y)\) to \((-x, -y)\).

Let's apply this transformation to each vertex:

1. **Point T (10, 2)**:
- After the rotation: \((-10, -2)\)

2. **Point S (10, 8)**:
- After the rotation: \((-10, -8)\)

3. **Point Q (6, 2)**:
- After the rotation: \((-6, -2)\)

4. **Point R (6, 8)**:
- After the rotation: \((-6, -8)\)

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

- T' = (-10, -2)
- S' = (-10, -8)
- Q' = (-6, -2)
- R' = (-6, -8)