Math Problem Statement
The point P(1, 5) is reflected over the y-axis. What are the coordinates of the resulting point, P'?
Solution
To solve this, we need to reflect the point over the y-axis.
When a point is reflected over the y-axis, the x-coordinate changes its sign, but the y-coordinate remains the same.
So, the reflection of over the y-axis will be:
Thus, the coordinates of the resulting point are .
Would you like further clarification or details? Here are a few related questions:
- What are the effects of reflecting a point over the x-axis?
- How do you reflect a point over the origin?
- What is the general rule for reflecting points over any vertical or horizontal line?
- Can reflections be performed on other geometric shapes, and if so, how?
- How would reflecting a point change the distance from the origin?
Tip: Remember, for reflections over the y-axis, the x-coordinate changes its sign, and the y-coordinate stays the same.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflection of Points
Formulas
Reflection formula over the y-axis: (x, y) → (-x, y)
Theorems
Reflection of points over the y-axis
Suitable Grade Level
Grades 6-8