How Does Determining whether a shape can be tessellated Work?

Tessellating means seeing if shapes can fit together perfectly without gaps or overlaps, just like puzzle pieces.

Imagine you're playing with tiles on the floor. If you have a bunch of square tiles, you can lay them all out and they’ll cover the whole floor, no spaces left. That’s tessellating, it works because squares fit together perfectly.

Now think about a hexagon, like a honeycomb cell. Those also tessellate because each side matches up with another hexagon. But what if you tried using a circle? No matter how hard you try, circles always leave little gaps between them, just like when you try to stack oranges and can’t fill the whole box.

To know whether any shape can tessellate, check its angles and sides. If the shape’s corners (or angles) add up to 360 degrees where they meet, it’ll fit nicely with others, just like how your tiles, hexagons, or even triangles work together.

So, tessellating is all about seeing if shapes can fit together perfectly, no gaps, no overlaps. It’s like building the perfect puzzle floor!