Use polygons to create beautiful, dynamic shapes in the Desmos Graphing Calculator, Geometry Tool, and 3D Calculator. Get started with the video to the right, then check out the example graph from the video, as well as the resources below.

## Polygon Function

Create a polygon with movable vertices by naming the coordinate points of each vertex of the polygon.

## Creating a polygon with the Geometry Toolbar

Another way to create a polygon in the Desmos Geometry Tool is to use the polygon tool from the Geometry Toolbar. Once it’s selected,click on the graph paper to choose points as the vertices of the polygon. Be sure to click back to the starting point to close your polygon.

Quick tip: You can also double-click on the last vertex of your polygon to automatically close it.

## Creating a Triangle in Desmos 3D

While you can’t use the *polygon* function in Desmos 3D, you can create a surface using three points and the *triangle* function.

## Transformations of Polygons

Transform polygons from the expression list or by using the transformation tools in Desmos Geometry.

In this example, the polygon is transformed using the expression list in the Graphing Calculator. It’s dilated by a factor of 2, and translated 6 units horizontally and -8 units vertically.

Click on the graph to explore polygon transformations in the Desmos Graphing Calculator.

If you are working in the Geometry Tool, you can find the transformation tools in the toolbar after you select the polygon.

To learn more about transformations in the geometry tool, visit Transformations: Desmos Geometry.

## Polygon Option Menu

Long press the icon to the left of your expression to bring up the options menu of the polygon. From there, show/hide the outline of the polygon, change the outline opacity and width, toggle the fill on/off, and adjust the fill opacity.

## Learn More

- Getting Started: Desmos Geometry
- Transformations: Desmos Geometry
- Sliders and Movable Points
- Custom Colors
- Math Art

Please write in with any questions or feedback to support@desmos.com.