How to create butterfly animation using geometric sketchpad

1. Prepare materials: half butterfly picture, preferably in PNG or GIF format with a transparent background; (Photoshop may be used)

2. Use a circle to construct a parallelogram

①Open the geometric sketchpad mathematical geometry drawing software, use the circle tool to draw a circle O, OA is its radius.

② Mark point O as the center of rotation. Rotate point A 90° around point O to get point B. Pick any point C on the circle between A and B, and select ⊙O, point C, and point B in order to construct Arc CB.

③ Construct point D on arc CB and create an animation button for point D on arc CB.

④ Mark the vector OD and translate the point A to E accordingly to get the parallelogram OAED.

3. Drag the prepared half butterfly picture to the geometric drawing board, select it, and copy it.

4. Select the three points D, O, and E in turn and execute the [Edit] → [Paste Picture] command.

5. Double-click the line segment OA (marked mirror), select the half butterfly just pasted on the three points D, O, and E, and perform the [Transform]-[Reflection] operation. Then you can draw the other half of the butterfly.

6. Delete half of the butterfly dragged in at the beginning, hide the redundant auxiliary, click the animation button, and a living butterfly will fly.

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