Math Problem Statement
Answer correctly the exit ticket part
If the figure in the picture is reflected over the x-axis, and point A was at (-1, 4), what are the coordinates of A' after the reflection?
Solution
In the "EXIT TICKET" section, the task asks about the reflection of point A (at ) across the x-axis.
When a point is reflected over the x-axis, its x-coordinate stays the same, but the y-coordinate changes its sign. So:
- The original point is A(-1, 4).
- After reflecting over the x-axis, the new point will have the same x-coordinate, but the y-coordinate will change to its opposite, resulting in A'(-1, -4).
Thus, the coordinates of point A' after the reflection are .
Let me know if you need further clarification or have any other questions! Here are some follow-up questions:
- How does reflection work over the y-axis?
- What is the effect of reflecting a point across both axes?
- Can you describe the symmetry of the x-axis reflection?
- How can you perform a reflection over a line other than the axes, like the line ?
- What is the geometric significance of reflections in coordinate geometry?
Tip: Remember that reflection always involves changing the sign of the relevant coordinate depending on the axis of reflection.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections
Formulas
Reflection over the x-axis: (x, y) -> (x, -y)
Theorems
Reflection theorem
Suitable Grade Level
Grades 6-8