Detailed steps for quartering any side of a triangle on Geometric Sketchpad

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1. Open the geometric sketchpad, use the [Line Segment] tool to draw △ABC, then select the [Ray] tool, move the mouse to coincide with point A, hold down the left button and drag, draw a line with point A as the The ray AD of the endpoint is as shown in the figure.

2. Select the [Point] tool, move the mouse to ray AD, click near point A to draw a point E, hold down the Shift key, and use the move tool Select points A and E in turn and execute the [Transform]-[Mark Vector] command.

3. Use the [Select] tool to select point E, execute the [Transform] - [Translate] command, and click OK in the pop-up dialog box to get a point E’. Select E’ and do the same operation to get E’’,... Continue doing this until you get the number of equal line segments you want. Here are four segments, as shown in the picture.

4. Connect the line segment BE''', select the line segment BE''', point E, E', E'', and execute the [Construction] - [Parallel Line] command , a set of parallel lines are drawn.

Use the [Select] tool to click on the intersection of the parallel line and AB to get three quartering points. Select all the objects to be hidden and execute the [Show]-[Hide] command to hide the auxiliary lines during the production process.

6. Select the [Line Segment] tool, connect point C and three quartering points, so that you can quarter one side of the triangle, thereby dividing △ABC into equal areas. Four parts.

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