Math Problem Statement
Reflect a point across the x-axis and determine the coordinates of the marked point in both the original and final figures.
Solution
The image you uploaded shows a question related to reflecting a point across the x-axis and then determining the coordinates of the marked point in both the original and the final figures.
To solve this:
- Identify the coordinates of the marked point in the original figure. From the graph, it looks like the point is at (3, 4) (x = 3, y = 4).
- Reflecting across the x-axis involves changing the sign of the y-coordinate, while the x-coordinate remains the same. So, reflecting (3, 4) across the x-axis will give the point (3, -4).
- Coordinates in the original figure: (3, 4)
- Coordinates in the final figure (after reflection): (3, -4)
Let me know if you need further clarification or have additional questions!
Here are 5 related questions you might find interesting:
- What happens if the point is reflected across the y-axis instead of the x-axis?
- How do reflections work when applied to shapes, not just points?
- What is the general rule for reflecting a point over any horizontal or vertical line?
- How can you use transformations to prove that two shapes are congruent?
- What are other types of transformations besides reflections?
Tip: When reflecting a point over the x-axis or y-axis, just remember that only the sign of the corresponding coordinate changes, making it a straightforward process to follow.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections
Transformations
Formulas
Reflection over x-axis: (x, y) → (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-9