Math Problem Statement

Point A (–2, –10) is reflected over the x-axis. Write the coordinates of A’.

Group of answer choices

(2, -10)

(-2, -10)

(-2, 10)

(2, 10)

Solution

When a point is reflected over the x-axis, its y-coordinate changes sign, while the x-coordinate remains the same.

Given point A=(2,10)A = (-2, -10):

  1. The x-coordinate stays the same: 2-2.
  2. The y-coordinate changes from 10-10 to 1010.

Thus, the coordinates of AA' are:

Answer: (2,10)(-2, 10)

Would you like more details or have any questions?


Here are some related questions to explore:

  1. What happens if a point is reflected over the y-axis instead?
  2. How would you reflect a point over both the x- and y-axes?
  3. How do you find the midpoint between two points, such as A and A'?
  4. What are some real-world applications of reflection in geometry?
  5. How would you reflect a point over a line other than the x- or y-axis?

Tip: When reflecting over the x-axis, only the y-coordinate changes; for the y-axis, only the x-coordinate changes.

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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 Properties on the Cartesian Plane

Suitable Grade Level

Grades 6-8