Math Problem Statement
The image of point (3,4) when reflected in the y-axis is
Solution
To reflect a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.
For the point (3,4):
- The x-coordinate is 3, and when reflected across the y-axis, it becomes -3.
- The y-coordinate remains 4.
Thus, the reflected point is (-3, 4).
Would you like more details or have any questions about this concept?
Here are 5 related questions to further your understanding:
- What happens when a point is reflected across the x-axis?
- How would you reflect a point across the line ?
- What are the general rules for reflecting points in the coordinate plane?
- How do reflections relate to symmetry?
- What is the effect of reflecting a point twice, once in the x-axis and once in the y-axis?
Tip: When reflecting a point across any axis, only one coordinate changes its sign, depending on the axis.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Reflections
Formulas
Reflection across the y-axis: (x, y) -> (-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8