Math Problem Statement
The point HH is plotted on the coordinate grid below. Plot the point H, primeH ′ , the reflection of HH over the xx-axis
Solution
To reflect a point over the -axis, you can follow these steps:
Reflection Process:
- Keep the -coordinate the same.
- Change the sign of the -coordinate.
Thus, the reflection of the point over the -axis would be .
Example:
If the point has specific coordinates, let's say , then the reflection will be located at .
If you can provide the coordinates of the point , I can help you calculate the exact reflection. Would you like to provide that information, or perhaps upload an image of the grid so I can assist more directly?
Related Questions:
- What happens when you reflect a point over the -axis instead of the -axis?
- How do you reflect a point over both axes simultaneously?
- Can you reflect a point over a line other than the axes, such as ?
- How does reflection change the orientation of shapes on a coordinate grid?
- What is the general rule for reflecting a point over the line ?
Tip: Reflections over the axes preserve distances but reverse the direction along one axis.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Reflections
Formulas
Reflection formula: H'(x, -y)
Theorems
Reflection across the x-axis theorem
Suitable Grade Level
Grades 6-8