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 point over the -axis, follow these steps:
- Identify the coordinates of point : Let's assume point has coordinates .
- Reflect over the -axis: To reflect a point over the -axis, the rule is to keep the -coordinate the same and multiply the -coordinate by -1. So the coordinates of (the reflection of ) would be .
- Plot the new point : On the coordinate grid, plot the new point with the updated coordinates .
For example, if the point is located at , the reflection over the -axis would be .
If you provide the coordinates of point , I can help you reflect it more precisely!
Would you like more details on reflecting points? Here are some related questions:
- How do you reflect a point over the -axis?
- How do you reflect a point over the line ?
- What happens when you reflect a point twice over the -axis and then the -axis?
- How do reflections affect the distances between points on a grid?
- What are the properties of reflections in coordinate geometry?
Tip: When reflecting over the -axis, only the sign of the -coordinate changes.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections
Formulas
Reflection over x-axis: (x, y) → (x, -y)
Theorems
Reflection Theorem in Coordinate Geometry
Suitable Grade Level
Grades 6-8