Geometric Sketchpad graphic method for scaling regular hexagons at a ratio of 1:3

1. Open the geometric sketchpad and create a new blank file. Use the [Line Segment Ruler Tool] to draw a line segment AB in the appropriate area of ​​the artboard.

2. Double-click point A to set it as the rotation center. Rotate point B 120 degrees according to center point A to get point B'. Use the same method to get other points. Use the [Line Segment Ruler] Tool】Connect the line segments to form a regular hexagon.

3. Take any point C, select points A and C, select [Transform] - [Mark Vector] command to mark the vector AC, select all regular hexagons, and select [Transform] 】——[Translation] command translates according to the vector to obtain another regular hexagon of the same size.

4. Double-click point C as the zoom center, select the first regular hexagon, select the [Transform]-[Zoom] command, and press 1:3 in the pop-up dialog box Scale the regular hexagon. The final scaled graph is shown in the figure.

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