LearnViz CompSci
Home / Learn / Graphics, Vision & Media / 2D Transformations

Beginner Topic 11 of 49 Graphics, Vision & Media

2D Transformations

Translation, rotation and scaling in the plane.

How it works

Translation, rotation, scaling and shear are expressed as 3×3 matrices in homogeneous coordinates; matrices compose by multiplication, and order matters (rotate then translate ≠ translate then rotate).

Where it is used

Sprites and UI.

Common pitfall

Rotating around the origin rather than the object's center.

Where it fits in the course

2D Transformations is topic 11 of 49 in Graphics, Vision & Media, rated Beginner. It follows Polygons and Meshes. The next topic is Matrices in Graphics.

Practice and explore

How to study this topic

  1. Read the explanation above and restate the definition in your own words.
  2. Open the interactive lesson and answer its mini quiz.
  3. Read the common pitfall, then write a short example that avoids it.
  4. Check your understanding in the Graphics, Vision & Media quiz, and revisit the topic if you miss a question.

Frequently asked questions

What is 2D Transformations?
Translation, rotation and scaling in the plane. It belongs to Graphics, Vision & Media and is a beginner-level topic.
Where do people use 2D Transformations?
Sprites and UI.
What is the most common mistake with 2D Transformations?
Rotating around the origin rather than the object's center.
What should I learn before this topic?
Start with Polygons and Meshes, the topic just before it in Graphics, Vision & Media.
How can I practice it?
Answer the mini quiz in the interactive lesson, then take the Graphics, Vision & Media quiz.
Is 2D Transformations hard to learn?
It is a Beginner topic, so it works as an entry point. If the terms are new, read the explanation twice and try the visualizer before the quiz.
How long does it take to learn 2D Transformations?
Most learners can read the explanation and finish the interactive lesson in under an hour. Fluency comes from applying the idea, so plan a few short practice sessions with the quiz.
Which topics are related to 2D Transformations?
Polygons and Meshes, Matrices in Graphics, Line Drawing Algorithms are closely connected. The full list is in the related topics section of this page.
What should I study after 2D Transformations?
Continue with Matrices in Graphics, the next topic in Graphics, Vision & Media.

Related topics