Math Problem Statement

if you reflect the point (3,4) over the x axis where are the new coordinates

Solution

When you reflect a point over the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign (becomes the opposite).

So, for the point (3,4)(3, 4):

  • The x-coordinate stays as 3.
  • The y-coordinate changes from 4 to -4.

Thus, the new coordinates after reflection over the x-axis are (3,4)(3, -4).

Would you like more details or have any other questions?

Here are 5 related questions:

  1. What happens when you reflect a point over the y-axis?
  2. How do you reflect a point over the line y=xy = x?
  3. What is the result of reflecting a point over both the x-axis and the y-axis?
  4. How do you perform a reflection on a graph with multiple points?
  5. What is the formula for reflecting a point over the line y=xy = -x?

Tip: When reflecting a point over the x-axis, only the y-coordinate changes, while reflecting over the y-axis changes only the x-coordinate!

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Plane
Reflection

Formulas

(x, y) → (x, -y) when reflecting over the x-axis

Theorems

Reflection Theorem over x-axis

Suitable Grade Level

Grades 6-8