Getting Started: Desmos Geometry

Welcome! The Desmos Geometry Tool allows you to visualize and explore plane geometry through construction, measurement, transformations, and more.

Watch the video for an introduction to the tool, and read on to learn more. For a more comprehensive resource, check out the Geometry Tool User Guide.

The Geometry toolbar contains all of the available construction tools.

You can use these tools to construct points, various types of lines, circles, angles, polygons, and more. You can also select items to edit or transform them.

When you select a geometric object, the toolbar changes to the Selected Items menu. This menu allows you to delete, hide, transform, or style the selected object.

Open the Transformation menu to translate, reflect, dilate, or rotate your object.

Click More Options to delete the selected object, move it from the token navigator to the expression list, or add a screen reader label.

The graph paper is where you can construct objects. You can insert items into this space from the toolbar or the expression list.

Items on the graph paper are dynamic. For example, you can click Select and then move draggable points to see how that movement affects the overall construction. You can also pan with the mouse and click Zoom In and Zoom Out to control how much of the paper you can see.

Click Token Navigator to view token references for the objects you construct on the graph paper. Hover over hidden tokens to reveal the location of those objects, or select tokens to change the object's properties.

You can also click and drag a token into the expression list to work with it algebraically, give it a name, or adjust other style settings. To access the object’s Options menu, either click and hold the Color icon or press Shift and then click.

The expression list is where you can enter expressions and functions. If you’re familiar with the Desmos Graphing Calculator, you’ll notice this part is the same.

Click Show Keypad to view a list of available functions. For geometry-specific functions, click Functions and then scroll to Geometry Tools, Properties & Measurements, and Transformations. Visit the Geometry Tool User Guide for a list of available functions, the arguments they take, and an example of each. You can type each function into the expression list and add inputs by selecting items on the graph paper.

For example, you can use these functions to find the intersection of two circles. Find one intersection by typing intersection( ) directly into the expression list or by clicking Intersection from the keypad. To see both intersections, reverse the order you click on the circles.

While many geometric functions and commands allow you to click on an object in the graph to insert it into an expression, this feature is sometimes restricted to prevent accidental inputs.

However, you can insert a token wherever you’d like. To do so, place your cursor in the desired position of the expression list. Then, press Shift and then click on the object you want to insert.

For example, the rotation function \(R(x)\) rotates an object \(x\) around the origin by \(90\) degrees. To use this rotation function, first click to place your cursor inside of the parentheses of \(R( )\). Then, press Shift and then click the polygon.

Click Save to save your constructions to view and edit later by clicking the Save button If you press Save while signed out, you will be prompted to sign in or create an account. You can also access all of your previously saved constructions by clicking the Open File .

Click Share Graph to share a link to your graph with others. .