Math Problem Statement

Triangle ABC was reflected over the x-axis. Where will point A' be located?

Solution

The image shows a triangle ABCABC reflected over the x-axis, and the question asks where point AA', the reflection of point AA, would be located.

To find the reflected point AA' over the x-axis, we apply the reflection rule: when reflecting a point over the x-axis, the x-coordinate remains the same, but the y-coordinate is multiplied by 1-1.

From the graph, the coordinates of point AA are approximately (3,2)(-3, -2).

  • After reflecting over the x-axis, point AA' will have the same x-coordinate and the opposite y-coordinate: A=(3,2)A' = (-3, 2)

So, point AA' will be located at (3,2)(-3, 2).

Would you like further details or explanations on this? Here are some related questions:

  1. How do you reflect points over other axes or lines?
  2. What are the coordinates of points BB' and CC' after reflection?
  3. How can reflections be described in terms of transformations?
  4. What is the general rule for reflecting over the y-axis?
  5. Can reflections be combined with other transformations like rotations?

Tip: Always check both coordinates when performing reflections to ensure the transformation follows the correct rule.

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Math Problem Analysis

Mathematical Concepts

Geometry
Reflections
Coordinate Plane

Formulas

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

Theorems

Reflection Theorem

Suitable Grade Level

Grades 6-8