Math Problem Statement
Point A (–2, –10) is reflected over the x-axis. Write the coordinates of A’.
Group of answer choices
(2, -10)
(-2, -10)
(-2, 10)
(2, 10)
Solution
When a point is reflected over the x-axis, its y-coordinate changes sign, while the x-coordinate remains the same.
Given point :
- The x-coordinate stays the same: .
- The y-coordinate changes from to .
Thus, the coordinates of are:
Answer:
Would you like more details or have any questions?
Here are some related questions to explore:
- What happens if a point is reflected over the y-axis instead?
- How would you reflect a point over both the x- and y-axes?
- How do you find the midpoint between two points, such as A and A'?
- What are some real-world applications of reflection in geometry?
- How would you reflect a point over a line other than the x- or y-axis?
Tip: When reflecting over the x-axis, only the y-coordinate changes; for the y-axis, only the x-coordinate changes.
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Math Problem Analysis
Mathematical Concepts
Geometry
Reflections
Coordinate Plane
Formulas
Reflection over the x-axis: (x, y) → (x, -y)
Theorems
Reflection Properties on the Cartesian Plane
Suitable Grade Level
Grades 6-8