Math Problem Statement

The point E is plotted on the coordinate grid below. Plot the point E', the reflection of E over the y-axis.

Solution

Let's solve the reflection problem step by step:

  1. Identify the coordinates of EE:

    • Point EE is marked at (2, 4) on the graph. So, the coordinates of EE are (2,4)(2, 4).
  2. Reflect EE over the yy-axis:

    • When reflecting a point over the yy-axis, the xx-coordinate changes sign, while the yy-coordinate remains the same.
    • The reflection of point E(2,4)E(2, 4) over the yy-axis will be E(2,4)E'(-2, 4).
  3. Fill in the blanks:

    • Coordinates of EE: (2,4)(2, 4)
    • Coordinates of EE': (2,4)(-2, 4)
    • When a point is reflected over the yy-axis, the xx-coordinate changes sign.

Do you want more details, or do you have any questions? Here are some related questions to explore:

  1. How do you reflect a point over the xx-axis?
  2. How would you reflect a point over both the xx- and yy-axes?
  3. What would happen if you reflect a point over the origin?
  4. How do reflections relate to symmetry in geometry?
  5. What are the general rules for reflecting a point over any line?

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

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Reflection

Formulas

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

Theorems

Reflection Theorem

Suitable Grade Level

Grades 6-8