Math Problem Statement

The point HH is plotted on the coordinate grid below. Plot the point H, primeH ′ , the reflection of HH over the xx-axis

Solution

To reflect point HH over the xx-axis, follow these steps:

  1. Identify the coordinates of point HH: Let's assume point HH has coordinates (x,y)(x, y).
  2. Reflect over the xx-axis: To reflect a point over the xx-axis, the rule is to keep the xx-coordinate the same and multiply the yy-coordinate by -1. So the coordinates of HH' (the reflection of HH) would be (x,y)(x, -y).
  3. Plot the new point HH': On the coordinate grid, plot the new point with the updated coordinates (x,y)(x, -y).

For example, if the point HH is located at (3,4)(3, 4), the reflection over the xx-axis would be H=(3,4)H' = (3, -4).

If you provide the coordinates of point HH, I can help you reflect it more precisely!

Would you like more details on reflecting points? Here are some related questions:

  1. How do you reflect a point over the yy-axis?
  2. How do you reflect a point over the line y=xy = x?
  3. What happens when you reflect a point twice over the xx-axis and then the yy-axis?
  4. How do reflections affect the distances between points on a grid?
  5. What are the properties of reflections in coordinate geometry?

Tip: When reflecting over the xx-axis, only the sign of the yy-coordinate changes.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Reflections

Formulas

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

Theorems

Reflection Theorem in Coordinate Geometry

Suitable Grade Level

Grades 6-8