How to realize the interchange of triangles and parallelograms in Geometric Sketchpad

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Draw triangle ABC. Open the geometric sketchpad software, select the [Polygon Tool (excluding internal)] on the left sidebar, draw a triangle in the working area on the right, select the text tool to mark three vertices, marked as △ABC.

Construct the midpoint of edge AB. Select side AB of △ABC with the mouse in the moving tool state, execute the [Construction]-[Midpoint] command or press the shortcut key [Ctrl M] to construct the midpoint of side AB, marked as point D.

Marked point D is the center of rotation. Select point D and execute the [Transform]-[Mark Rotation] command or directly double-click point D with the mouse to mark point D as the rotation center.

Create new angle parameter t1. Execute the [Data] - [New Parameter] command, select the angle in the pop-up dialog box, the unit is degrees, keep the integer value, and then click OK.

Select the triangle to execute the rotation command. With the mouse in the tool selection state, circle △ABC, execute the [Transform] - [Rotate] command, click the angle parameter in the pop-up dialog box, and set it to rotate according to this parameter.

Change the size of the angle parameter, and the triangle will rotate accordingly. Select the angle parameter and hold down the [Shift key] and [ ] at the same time to increase the angle parameter value, so that △ABC will also rotate around point D at the corresponding angle.

When the value of the angle parameter is equal to 180? When, that is, △ABC rotates 180? , then a parallelogram appears.

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