Symmetry as a transformation (4.2 min.)
A symmetry is a transformation that leaves a shape looking unchanged.
Use the app below to explore turns & flips that leave shapes looking unchanged.
Rotation symmetries of the square Enter this code. Notice the rotation permutations listed on the left of the screen. How many unique permutations are there? How many rotation symmetries does the square have?
Rotation symmetries of the triangle Repeat the above explorations for the triangle. How would you edit the code? |
Reflection symmetries of the square Enter this code. Edit the code to get all the possible reflection symmetries of the square. How many are there? Record their permutations. Enter this code. What do you notice? How would you explain this result? Reflection symmetries of the triangle Repeat the above explorations for the triangle. How would you edit the code? |