Math Problem Statement
If ABC is reflected over the y-axis, which ordered pair would represent the coordinates for A’ ?
(4, −3)
(3, −4)
(−4, 3)
(−3, 4)
Solution
In the given graph, we can observe that point has the coordinates .
To find the coordinates of the point after reflecting over the -axis, we need to change the sign of the -coordinate while keeping the -coordinate the same.
So the reflection of point over the -axis will give us:
Thus, the correct ordered pair for is .
The correct answer is: (−3, 4)
Would you like further details on this reflection, or have any other questions?
Here are five related questions to expand your understanding:
- What are the coordinates of point and after reflecting over the -axis?
- How would the coordinates change if we reflected over the -axis instead?
- Can you describe the general rule for reflecting a point over the -axis?
- What are the properties of reflections over the coordinate axes?
- How would you reflect a point over the line ?
Tip: When reflecting a point over the -axis, only the -coordinate changes sign, while the -coordinate remains unchanged.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections over Axes
Formulas
Reflection over the y-axis: (x, y) → (-x, y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 7-9