Math
Transformations.
Definition
Transformations are operations that change the position, size, or orientation of a geometric figure or function graph. The four main types are translations (slides), reflections (flips), rotations (turns), and dilations (resizing).
Examples
Real-world.
- 1 Sliding a triangle 3 units to the right is a translation
- 2 Flipping a shape over the y-axis is a reflection
- 3 Enlarging a figure by a scale factor of 2 from the origin is a dilation
Key Fact
Rigid transformations (translations, reflections, rotations) preserve size and shape; dilations change size but preserve shape