Quadrilateral Rotation Animation

This article explains how to create a rotation animation for a quadrilateral using GeoGebra.

Steps to Create a Quadrilateral Rotation Animation in GeoGebra

1. Open GeoGebra

Open the GeoGebra application on your computer or device.

2. Create a Quadrilateral Polygon

Click Polygon, then click four points on the graph view and return to the starting point. The result will be a shape ABCD like the image below.

3. Create the Rotation Center

Create a point at the intersection of the $x$-axis and $y$-axis. Click the Point tool, then click the point $(0,0)$. GeoGebra will create point $E(0,0)$ as the center of rotation.

4. Create an Angle Slider

Click Slider, then click anywhere on the graph view. In the dialog box, choose Angle, rename $\alpha$ to angle, then click OK.

5. Rotate the Polygon

In this example, the polygon is named q1. Type the following command in the input bar:

Rotate[q1,angle,E]

Press Enter, and the rotated image will appear as follows.

6. Enable Trace On

Right-click the rotated image, then choose Trace On.

7. Enable Animation On

To make the shape rotate automatically, right-click the slider and choose Animation On.

8. Add Variations and Tidy the Display

Repeat steps 2-7 to create a second quadrilateral. To make the animation more attractive:

• change the color of the rotated shape in the algebra view or polygon settings;
• remove labels from the created shapes;
• adjust the slider color if needed.

Final Result

Below is an example of the finished animation. Click the play icon in the lower-left corner, or move the slider manually.

That concludes this guide to creating a quadrilateral rotation animation in GeoGebra. If you have suggestions or corrections, please leave them in the comments.