Math Problem Statement
The query submitted by the user:
Solution
To solve the problem, we need to reflect each of the given points across the x-axis. When reflecting a point across the x-axis, the x-coordinate remains the same, while the y-coordinate changes its sign.
Let's apply this to each point:
-
Point (7, -2):
- Reflection:
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Point (-3, 9):
- Reflection:
-
Point (3, -9):
- Reflection:
-
Point (-2, -7):
- Reflection:
So the reflections of the points are:
- (7, -2) → (7, 2)
- (-3, 9) → (-3, -9)
- (3, -9) → (3, 9)
- (-2, -7) → (-2, 7)
Would you like more details on the reflection process or have any further questions?
Additional Questions:
- How would you reflect points across the y-axis?
- What would the reflection of a point across the origin look like?
- If a point lies on the x-axis, what is its reflection across the x-axis?
- How does reflecting a point over both axes affect its coordinates?
- Can you describe how to reflect a point over the line ?
Tip:
Remember that reflecting a point across the x-axis only changes the sign of the y-coordinate, while reflecting across the y-axis only changes the sign of the x-coordinate.
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Math Problem Analysis
Mathematical Concepts
Geometry
Coordinate Geometry
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9