ELI5: Explain Like I'm 5

Transformation geometry

Transformation geometry is like a magic trick that makes pictures move or change shape!

Imagine you have a picture of a square. Transformation geometry is when you do something to the square to make it look different, but you are not physically changing the picture, only how it looks.

Let's say you want to make the square bigger. You can use a transformation called "scaling". This means you multiply the length and width of the square by a certain number, making it bigger, but still keeping the same shape.

Now, let's say you want to move the square from one place to another. You can use a transformation called "translation". You imagine the square sitting on a grid, and you move the square a certain number of units to the left or right, up or down, without changing its size or shape.

And if you want to turn the square, you can use a transformation called "rotation". This means you can spin the square on a certain point, like a top, and it will turn around without changing its size or shape.

Transformation geometry is really cool because you can use these tricks to create lots of different pictures and shapes, just by moving things around on a computer screen or a piece of paper. So next time you see a picture that moves or changes, remember that it might be using transformation geometry!