Math
Reflections.
Definition
A transformation that flips a figure over a line (line of reflection), creating a mirror image. Each point and its image are equidistant from the line of reflection.
Examples
Real-world.
- 1 Reflecting (3, 2) over the y-axis gives (-3, 2)
- 2 Reflecting (3, 2) over the x-axis gives (3, -2)
- 3 Reflecting over the line y = x swaps coordinates: (3, 2) → (2, 3)
Key Fact
Over x-axis: (x,y)→(x,-y); Over y-axis: (x,y)→(-x,y); Over y=x: (x,y)→(y,x)