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Fill in the blanks : {:("Point","Trans...

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

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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)):}`
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