Math Problem Statement

Using the pencil, plot the reflection of point A across the x-axis.

Solution

To reflect point AA across the xx-axis, you need to find the point directly opposite AA on the other side of the xx-axis, keeping the same horizontal distance but flipping the vertical coordinate.

  1. Identify the coordinates of point AA: If point AA is at (x,y)(x, y), then its reflection across the xx-axis will be at (x,y)(x, -y).

  2. Plot the reflected point: If AA is at (4,8)(4, 8), for example, then the reflected point will be (4,8)(4, -8).

  3. Use the pencil tool to plot this point on the graph.

After plotting, check your answer to verify it’s correct.

Would you like more details on this process or have any specific questions?

Here are some related questions to deepen understanding:

  1. How do you reflect a point across the yy-axis instead of the xx-axis?
  2. What would be the result of reflecting a point across both the xx- and yy-axes?
  3. How do transformations like reflections affect shapes or patterns on a coordinate plane?
  4. How would you plot a point reflected across a line other than the xx-axis, such as y=xy = x?
  5. Can reflections be combined with other transformations, like rotations or translations?

Tip: When reflecting a point across the xx-axis, the xx-coordinate remains the same, while the yy-coordinate is simply negated.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Reflection

Formulas

Reflection across the x-axis: (x, y) → (x, -y)

Theorems

Reflection Theorem

Suitable Grade Level

Grades 6-8