A simple tutorial on making two equal angles using geometric sketchpad

Draw any corner on the geometric drawing board. Select the [Line Segment Tool] on the left toolbar and draw a ∠ABC with no degree limit on the drawing board, as shown in the figure.

Measure ∠ABC and label the angle. Select points A, B, and C in turn, click the [Measurement] menu in the upper menu bar, and select the [Angle] command from its drop-down menu, so that the degree of ∠ABC appears in the upper left corner of the drawing board.

Use the [Move Tool] to select the measured angle, click the [Transform] menu on the upper menu bar, and select the [Mark Angle] command in its drop-down menu, as shown in the figure.

Set the rotation angle. Use the [Line Segment Tool] to draw a line segment DE on the artboard, select one of the endpoints and double-click it to mark it as the center of rotation. Then select the line segment DE, click the [Transform] menu in the upper menu bar, select the [Rotate] command in its drop-down menu, click the angle value of the measurement, set it as the rotation angle, and then click [Rotate].

After the above operations, we get ∠E'DE which is equal to ∠ABC. Although these two angles have different side lengths, the angles are equal, regardless of No matter how the side length changes, the two angles are always equal.

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