Translation
Translation is a skill on Pengi from Lesson 26: Transformations in Saxon Math, Course 3.
Key Concepts
Property A translation is a 'slide.' It moves a figure a specific distance and direction without any turning or flipping. For a translation $(a, b)$, 'a' is the horizontal shift and 'b' is the vertical shift.
Examples Applying a translation of $(6, 2)$ to a point at $( 1, 4)$ moves it to a new location at $( 1+6, 4+2)$, which is $(5, 6)$. A square with vertices at $(0,0), (3,0), (3,3), (0,3)$ translated by $( 4, 2)$ moves to new vertices at $( 4, 2), ( 1, 2), ( 1,1), ( 4,1)$.
Explanation This is the simplest move! A translation just slides an object from one spot to another. Think about moving a game piece on a board—it doesn’t turn or flip, it just glides across. The translation vector, like $(5, 3)$, gives you the secret directions: move 5 units right and 3 units down to find the new location.
Common Questions
What is Translation?
Translation is a skill on Pengi from Lesson 26: Transformations in Saxon Math, Course 3.
What grade level is Translation for?
Translation is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Translation?
Pengi offers an AI-guided lesson for Translation that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Translation?
After learning the concept, use the Practice mode to work through targeted exercises on Translation. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Translation?
Translation is covered in Saxon Math, Course 3, specifically in Chapter 3: Number & Operations under Lesson 26: Transformations. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Translation free to study on Pengi?
Yes, the core Learn and Practice modes for Translation are available for free on Pengi. No credit card is required to start studying.