How to use geometric sketchpad to rotate intersecting straight lines around the intersection point

Step 1 Draw any circle. Open the geometric sketchpad, select the [Circle Tool] on the left toolbar, click once on the appropriate position of the sketchpad, determine the center of the circle, drag the mouse, adjust the size of the circle, and click the mouse again to draw a circle.

Step 2 Construct two diameters passing through the center of the circle

Select the [Point Tool] in the left toolbar and draw two points A and B on the circle. Select points A, O and points B, O in turn, click the [Construction] menu in the upper menu bar, select [Menu], and select the [Ray] command in its drop-down menu. The ray intersects the circle O to obtain points C and D.

Press the shortcut key [Ctrl H] to hide the ray, and use the [Line Segment Tool] to connect points A, C and points B, D to get the two diameters of the intersecting circle O.

Step 3 At this time, use the [Move Arrow Tool] to select point A and drag and rotate around circle O. You will find that line segment AC rotates around circle center O. Similarly, select point B and drag it to rotate around circle O. You will find that line segment BD rotates around circle center O. Note: The line segment cannot be rotated when points C and D are selected.

Step 4 Hide redundant objects. Use the [Move Arrow Tool] to select unwanted points and circles, click the upper menu to display the [Show] menu, and select the [Hide] command from its drop-down option to hide them.

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