Complete the table :
`{:("Point","Transformation ","Image"),((6,-6), .....................,(-6,6)):}`

Answer

To complete the table for the given point and its image, we need to understand the concept of reflection in the origin.

### Step-by-Step Solution:

1. **Identify the Given Point and Image**:
- The given point is \( (6, -6) \).
- The image of this point is \( (-6, 6) \).

2. **Understand the Transformation**:
- The transformation we are looking at is a reflection in the origin.
- In a reflection through the origin, the coordinates of a point \( (x, y) \) transform to \( (-x, -y) \).

3. **Determine the Transformation**:
- For the point \( (6, -6) \):
- The transformation can be described as:
- Original point: \( (x, y) = (6, -6) \)
- Image after reflection in the origin: \( (-x, -y) = (-6, 6) \)

4. **Fill in the Table**:
- Now we can fill in the table with the information we have:
- Point: \( (6, -6) \)
- Transformation: Reflection in origin
- Image: \( (-6, 6) \)

### Completed Table:
```
| Point | Transformation | Image |
|-------------|-------------------------|-------------|
| (6, -6) | Reflection in origin | (-6, 6) |
```