Math Problem Statement
Point JJ is located at left parenthesis, minus, 1, comma, minus, 6, right parenthesis(−1,−6) on the coordinate plane. Point JJ is reflected over the xx-axis to create point J, primeJ ′ . What ordered pair describes the location of J, prime, question markJ ′
Solution
When a point is reflected over the -axis, the -coordinate of the point changes its sign, while the -coordinate remains the same.
Given the coordinates of point as :
- The -coordinate remains .
- The -coordinate changes from to because of the reflection over the -axis.
Thus, the coordinates of the reflected point are:
Would you like more details on reflections or have any questions?
Here are some related questions you might explore:
- How do you reflect a point over the -axis?
- What is the effect of reflecting a point over the line ?
- How would you reflect a point over the origin?
- What happens to a point's coordinates when it is reflected over the line ?
- How do reflections affect the distance between two points on a coordinate plane?
Tip: When reflecting over the -axis, always invert the -coordinate's sign while keeping the -coordinate the same!
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Plane
Reflections
Formulas
Reflection over x-axis: (x, y) → (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8