Overview
This lecture introduces the four main types of geometric transformations—rotation, translation, reflection, and dilation—and explains how to identify each using practice examples.
Types of Transformations
- Rotation means spinning a shape around a fixed point.
- Translation shifts all points of a figure the same distance in the same direction.
- Reflection flips a figure over a specific line (mirror line).
- Dilation resizes a figure (making it larger or smaller) from a center point.
Identifying Transformations in Examples
- If a figure is moved in the same direction and distance, it's a translation.
- If a figure is turned around a specific point, it's a rotation.
- If a figure appears as a mirror image across a line, it's a reflection.
- If a figure changes size but maintains shape, it's a dilation, and the center of dilation determines how points move.
Key Terms & Definitions
- Rotation — Turning a figure around a fixed center point.
- Translation — Moving every point of a figure the same distance in a chosen direction.
- Reflection — Flipping a figure across a line, creating a mirror image.
- Dilation — Resizing a figure from a center point, changing size but not shape.
Action Items / Next Steps
- Practice identifying which transformation (rotation, translation, reflection, dilation) is used in different geometric figures.
- Review the definitions and examples to prepare for quizzes or exams on transformations.