3.2Translations
Quick Answer
A translation slides every point the same distance in the same direction. Coordinate rule: (x, y) → (x + a, y + b). A vector ⟨a, b⟩ describes the translation: a = horizontal shift, b = vertical shift.
Essential Question
How does a translation move every point of a figure, and how do we describe a translation using a coordinate rule or vector?
Learning Goals
- 1Translate a figure using a coordinate rule.
- 2Describe a translation using a vector.
- 3Identify the vector from a pre-image and image.
- 4Verify that a translation is a rigid motion.
Key Vocabulary
Translation
A transformation that slides every point the same distance in the same direction.
Vector
A quantity with both magnitude and direction; written ⟨a, b⟩ for a translation.
Coordinate rule
An algebraic rule such as (x, y) → (x + a, y + b) that describes a transformation.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.