Reflections
MathDefinition
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
- Reflecting (3, 2) over the y-axis gives (-3, 2)
- Reflecting (3, 2) over the x-axis gives (3, -2)
- 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)
Study This Concept
Practice reflections with free review games in these units: