Tutorial on how to quickly bisect line segments using Geometry Sketchpad

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Method 1. Use zoom.

Use the line segment tool to draw any line segment AB.

Double-click point A to mark the center, select point B, select [Transform] - [Scale], select the fixed ratio as 1/3, click [Zoom] to transform the point It is a 3-section point of line segment AB.

In the same way, select the fixed ratio as 2/3, and the point obtained by the transformation is another 3 equal points of line segment AB.

Method 2: Draw points directly on the line segment.

Use the line segment tool to draw any line segment AB.

Select line segment AB, right-click and select [Draw points on line segment], enter [1/3] in the [Draw points with given values] dialog box, confirm, draw points It is a 3-section point of line segment AB. In the same way, enter [2/3] in the dialog box to draw the second 3-point point.

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