Exploring Rotations in the Coordinate Plane

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Acepto los términos de la licencia no-comercial de GeoGebra

• Actividad fuera de línea (.zip)

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  1. Interact with the app below for a few minutes. When done, please answer the questions that follow. (.ggb)
     
  2. In the app above, rotate Lisa 90 degrees about (0,0). List any preimage point you see in the preimage column. Record its image as well. Repeat this process for different preimage positions. (.ggb)
     
  3. In the app below, rotate Lisa 180 degrees about the origin. (.ggb)
     
  4. Be sure Lisa is rotated 180 degrees about (0,0) in the app above. Generate 5 different preimage points in the app above. Record coordinates of their respective images as well. (.ggb)
     
  5. In the app below, rotate Lisa 270 degrees about the origin. (.ggb)
     
  6. Be sure Lisa is rotated 270 degrees about (0,0) in the app above. Generate 5 different preimage points in the app above. Record coordinates of their respective images as well. (.ggb)
     
  7. Study your results in the tables above. Can you fill in the blanks with expressions containing x and y? (.ggb)