How to design paper folding demonstration animation with geometric sketchpad

Geometry Sketchpad is a powerful geometric drawing software that has been widely used in mathematics teaching. Mastering the paper folding demonstration animation method in the geometric sketchpad can help teachers vividly demonstrate the paper folding process and deepen students' understanding of the folding properties of geometric figures. This article will introduce in detail the method of designing paper folding demonstration animation with geometric sketchpad, guide you step by step to create interactive animation, and easily present the dynamic effect of paper folding.

1. Use the square of the custom tool [Quadrilateral] to draw a square (you can also draw a square according to your own method) ABCD.

2. Pick any point E on edge CD, select points B and E, [Construct]-[Line Segment] to get the line segment BE, select the line segment BE, [Construct]-[ midpoint】. Select the midpoint and line segment BE, [Construction] - [Perpendicular Line], intersect side AD at point M, and intersect side BC at point N.

3. Select the straight line MN, [Transform] - [Mark Mirror] (or double-click the straight line MN), select point A, [Transform] - [Reflection] to get point A' , change the label to F.

4. Select points F, M, N, E, [Construction] - [Line Segment] to get the quadrilateral FMNE. Select the line segment BE, hold down the Shift key, [Display] - [Line Style], and change the line segment BE to a dotted line.

5. Select points E and D, [Edit] - [Operation Button] - [Move], the operation button move dialog box will pop up, click [OK]. In the same way, create a move button from point E to point C. Click the move button to see a demonstration of the folding of the paper as point E moves around the edge of the CD.

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