Graphical method of using geometric sketchpad to animate arcs and fold along straight lines

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Draw an arc. There are many well-made graphics tools that can be used in the geometric sketchpad, so that the basic graphics needed when making courseware do not need to be drawn.

You need an arc here, click the [Custom Tools] button on the left sidebar, select [Circle Tool] - [Arc (solid line)] in the pop-up tool kit,

After selecting the above tools, click the mouse in the blank area of ​​the drawing board to determine an endpoint of the arc, drag the mouse, determine the size of the arc, and click the mouse again to draw the arc. ,

Draw a straight line. Select the [Straight Line Tool] on the left sidebar, click the mouse twice on the drawing board to draw a straight line l,

Construct a point on the arc and make a symmetrical point. Use the point tool to pick any point B on the arc, double-click the straight line l to mark it as a mirror surface, select point B, and execute the [Transform]-[Reflection] command to get point B' and connect the line segment BB',

Construct trajectory. Pick any point D on line segment BB’, select points D and B, and execute the [Construct]-[Trajectory] command to get the trajectory as shown in the figure below.

Create a move button. Select point D and point B' in turn, execute the [Edit] - [Operation Button] - [Move] command, change the label to [Flip] in the pop-up dialog box, click OK, and you will get the folded circle. Arc operation button. Select point D and point B in turn, execute the [Edit] - [Operation Button] - [Move] command, change the label to [Restore] in the pop-up dialog box, click OK, and then you will get the operation of restoring the arc. button. At this point, the entire operation is completed, and the final courseware is as shown in the figure.

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