Tutorial on how to draw an equilateral triangle inscribed in a circle using Geometry Sketchpad

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1. Open the geometric sketchpad, select the circle tool in the drawing bar on the left to draw a circle, and use the text tool to mark the center of the circle and a point on the circle, which are point O and point A respectively.

2. Select the center O and the point A on the circle, find Transform in the menu bar, and select Rotate.

3. In the rotation setting box, set the angle of rotation. The setting here is 360/3 (equilateral triangle). If the displayed rotation center is not point O, we need to click on the next point O again.

4. After clicking Rotate, we get the rotated point of point A with respect to point O, marked as point B. Select the line segment tool to connect AB.

5. Select point A, select the iteration tool in the transformation menu, the original image is point A, and the initial image is point A' (if the initial image is [?], you need to click Next point B).

6. The system default number of iterations is 3; select iteration, the following pattern will appear, mark the third point obtained as C. At this point the drawing of the inscribed equilateral triangle of the circle is completed.

Regular polygons inscribed in a circle can be drawn using the same method, but different rotation degrees and iteration times need to be set. The number of iterations can be increased by pressing [ ] on the keyboard, or you can choose to increase iterations in the display.

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