Math Problem Statement
Given a line of reflection at x=2, which of the following is the image of the point (2,3)?
Solution
When reflecting a point across a vertical line, the line of reflection acts as a mirror. In this case, the line of reflection is .
Given the point :
- The x-coordinate of the point is already , which is on the line of reflection.
- When a point lies directly on the line of reflection, its image remains the same.
Thus, the image of the point after reflecting across the line is .
Would you like further explanation or have any questions about this reflection process?
Here are 5 related questions for further exploration:
- What is the image of the point after reflecting over the line ?
- How do you reflect a point across the y-axis?
- What would be the image of after reflecting across the line ?
- How do you find the line of reflection if the original point and its image are given?
- Can you describe how to reflect a point over the line ?
Tip: When reflecting a point, the distance from the point to the line of reflection is the same as the distance from the image to the line of reflection.
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflection across a line
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12