A detailed tutorial on how to draw points on two line segments to make them equal in geometric sketchpad

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For example, if there are two line segments AB and CD, take points E and F respectively, so that the ratio of points E and F to line segments AB and CD is equal. The specific operation is as follows:

Open the geometric sketchpad, click the left sidebar tool, draw the line segment tool in the blank area, select the middle line segment, click the [Construction] menu in the upper menu bar, so that any line segment AB is Take a point E, command, so that you can take a point E on the line segment AB.

Mark ratio. Use the move tool to select points A, B, and E in sequence, click the [Transform] menu in the upper menu bar, select the [Mark Ratio] command from its drop-down option, and

execute the zoom command. Use the line segment tool to draw line segment CD, double-click the end point C of another known line segment CD with the left button, select another point D, click the [Zoom] command in the transformation menu, and click Zoom in the pop-up dialog box.

In this way, point F is obtained on line segment CD. By calculating the ratios of AE/BE and CF/DF, it is found that the two values ​​are equal. That is point E, point F is the desired point.

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