Exploring Symmetry
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Below you can see a point A that was reflected at the line in order to create its image A'. Task 1 Drag point A with the mouse along the outline of the flower. Write down your observations. Hint: Press the button Delete Trace in order to delete the trace and start over.
Task 2 How many axes of symmetry does this flower have? Hint: Drag the green points in order to change the position of the line of reflection. Then, repeat step 1 for every position of the line.
Instructions
Learn how to recreate the figure used above to explore the concept of symmetry.
1. | Make sure that you have the picture of the yellow flower saved on your computer before you start with the actual construction. | |
2. | ![]() | Create a new point A. |
3. | ![]() | Construct a line of reflection through two new points. |
4. | ![]() | Mirror point A at the line to get its image A’. |
5. | ![]() | Create a segment between point A and its image A’. |
6. | ![]() | Turn the Trace on for points A and A′.
Note: Whenever point A is moved, it leaves a trace in the ![]() |
7. | ![]() | Drag point A to draw a trace.
Hint: The menu item Refresh Views in the ![]() |
Try it yourself...
Instructions (continued)
Learn how to recreate the figure used above to explore the concept of symmetry.
8. | ![]() | Insert the image of the yellow flower into the ![]() ![]() |
9. | ![]() | Adjust the position of the inserted image using the Move tool. |
10. | ![]() | Set the image as Background Image using tab Basic of the the ![]() ![]() |
11. | ![]() | Reduce the Opacity of the image using tab Color of the ![]() ![]() |
Hint: After specifying the picture as a background image you can’t select it in the ![]() |