What is the reflection of the point (0.5,6) in x-axis?

Options

A. (0.5, -6)
B. (-6,-0.5)
C. (6,-0.5)
D. (-0.5,-6)

Answer

To find the reflection of the point (0.5, 6) in the x-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Original Point**: The original point is given as (0.5, 6). Here, 0.5 is the x-coordinate and 6 is the y-coordinate.

2. **Understand Reflection in the x-axis**: When a point is reflected across the x-axis, the x-coordinate remains the same, while the y-coordinate changes its sign. This means if the original point is (x, y), the reflected point will be (x, -y).

3. **Apply the Reflection Rule**: For the point (0.5, 6):
- The x-coordinate remains the same: 0.5
- The y-coordinate changes sign: 6 becomes -6

4. **Write the Reflected Point**: Therefore, the reflection of the point (0.5, 6) in the x-axis is (0.5, -6).

5. **Select the Answer**: Based on the options provided, the correct answer is (0.5, -6).

### Final Answer:
The reflection of the point (0.5, 6) in the x-axis is (0.5, -6).

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