How to use the rotation command to construct a regular pentagon on the geometric sketchpad

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1. Click the line segment tool and draw a line segment AB at an appropriate position on the drawing board.

In the rotation center tool, click point A to set point A as the rotation center. Select point B and line segment AB at the same time, execute the [Transform]-[Rotate] command, open the rotation dialog box, set the rotation angle to 108 degrees, click the rotate button, and get the line segment AB'.

3. Click the Move Arrow tool, double-click point B’, and set point B’ as the center of rotation. Select point A and line segment AB’ at the same time, execute the [Transform]-[Rotate] command to open the rotation dialog box, set the rotation angle to 108 degrees, and click the rotate button to get line segment B’A’. Make the remaining two sides similarly to the previous method.

4. Select the five vertices of the pentagon in turn and execute the [Display]-[Point Label] command to open the label dialog box for multiple objects. In the starting label text Enter [A] in the box, click the OK button, and change the labels of the selected points to A, B, C, D, and E. The final effect is as shown in the figure.

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