Fill in the blanks :
`{:("Point","Transformation ","Image"),((4, 2), "Reflection in x - axis",..........):}`

Answer

To find the reflection of the point (4, 2) in the x-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Original Point**:
The given point is P(4, 2).

2. **Understand the Reflection in the x-axis**:
When a point is reflected in the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign.

3. **Apply the Reflection Rule**:
For the point P(4, 2):
- The x-coordinate is 4 (which remains unchanged).
- The y-coordinate is 2, and when reflected in the x-axis, it becomes -2.

4. **Determine the Reflected Point**:
Therefore, the reflected point P' will be (4, -2).

5. **Fill in the Blank**:
The required image of the point (4, 2) after reflection in the x-axis is (4, -2).

### Final Answer:
The filled statement will be:
`{:("Point","Transformation ","Image"),((4, 2), "Reflection in x - axis", (4, -2)):}`