Math Problem Statement
Write the coordinates of the vertices after a reflection over the x-axis.
Solution
The task asks to reflect the coordinates of the vertices , , , and over the x-axis. Let's first find the original coordinates of these points:
- :
- :
- :
- :
To reflect a point over the x-axis, the y-coordinate is multiplied by , while the x-coordinate remains the same. Applying this transformation:
Thus, the reflected coordinates are:
Let me know if you want any further details or clarifications.
Here are 5 related questions:
- What happens when reflecting a point over the y-axis?
- How do we reflect a point over the line ?
- Can you explain how to reflect a point over the origin?
- How would the reflection change if it was over the line ?
- How do translations differ from reflections?
Tip: When reflecting points, always remember that only one coordinate changes: for x-axis reflections, it's the y-coordinate, and for y-axis reflections, it's the x-coordinate.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Reflections
Formulas
Reflection over x-axis: (x, y) -> (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8