Reflection Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Reflect (5,3)(5, 3) over the y-axis. What is the image?

Solution

  1. 1
    Step 1: Reflection over the y-axis: (x,y)→(−x,y)(x,y) \to (-x, y).
  2. 2
    Step 2: (5,3)→(−5,3)(5, 3) \to (-5, 3).

Answer

(−5,3)(-5, 3)
Reflecting over the y-axis negates the x-coordinate and keeps y unchanged. The y-axis acts as the mirror: a point 5 units to the right of the y-axis maps to 5 units to the left, at the same height.

About Reflection

A rigid transformation that flips a figure over a line (the mirror line), producing a mirror image.

Learn more about Reflection →

More Reflection Examples

Example 1 easy

Reflect the point [formula] over the x-axis. What are the coordinates of the image?

Example 2 medium

Reflect the point [formula] over the line [formula]. Find the image.

Example 4 hard

Reflect the point [formula] over the line [formula]. Find the image coordinates and explain your met

← All Reflection Examples Reflection Concept

Related Concepts

Geometric Transformation