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Tutorial on how to use the geometric sketchpad to verify that the circumferential angles on an arc are equal

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2024-04-17 14:13:12874browse

Use the point tool to draw any three points A, B, and C in the drawing area, select the three points in turn, and select [Construction] - [Arc passing through three points].

Tutorial on how to use the geometric sketchpad to verify that the circumferential angles on an arc are equal

Use the point tool to create a point D on the arc that does not overlap with point B. Use the line segment tool to construct line segments AD and CD. Select point B and press [Ctrl H] to change point B. hide.

Tutorial on how to use the geometric sketchpad to verify that the circumferential angles on an arc are equal

Select the marking tool on the left side of the toolbar and drag it toward the inside of the corner at point D to mark the corner. Switch the mouse to the arrow tool, select the marked corner, select [Measure] - [Angle], and measure the size of the outgoing corner ADC.

Tutorial on how to use the geometric sketchpad to verify that the circumferential angles on an arc are equal

Click point D, select [Edit] - [Operation Buttons] - [Animation], set the movement direction to [Bidirectional] and the speed to [Slow] , change the label to [circular angles on the same arc are equal], [OK].

Tutorial on how to use the geometric sketchpad to verify that the circumferential angles on an arc are equal

Click the button, point D keeps moving on the arc, the lengths of line segments AD and CD keep changing, but the angle remains unchanged.

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