How to use the reflection command to create axially symmetrical graphics on the geometric sketchpad

Note: Not all objects can be reflected, such as constructed trajectories and function images. The reflection command will not pop up a dialog box. The mirror must be marked before reflection, otherwise the system will randomly mark a line segment, ray or straight line as the marked mirror.

Example: Construct an axially symmetrical figure of △ABC about a straight line

1. Click the polygon tool and draw a △ABC at an appropriate position on the drawing board.

2. Click the straight line tool and draw a straight line DE at the appropriate position on the artboard.

3. Select straight line DE and execute the [Mark Mirror] command under the [Transform] menu to mark straight line DE as a mirror. At this time, straight line DE will flash briefly, indicating that the marking is successful.

4. Select △ABC and execute the [Reflection] command under the [Transform] menu to obtain a new △A’B’C’ that is symmetrical with △ABC.

5. Execute the [File]-[Save] command and save it as the file name [Constructing an axially symmetrical figure of △ABC about a straight line].

Tip: The axially symmetrical figure demonstrates dragging the vertices of a triangle from left to right to change its position and shape, and you can observe the dynamically maintained symmetry relationship and related properties.

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