Working in 3D: Warm Up Questions (1)

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• Offline Activity (.zip)

• GeoGebra Files

  1. Below, construct a cube whose edge lengths are 10 units long. If interested, feel free to use the point plotted as one of its vertices (corners). (.ggb)
     
  2. Reflect these 3 points about the vertical plane shown. Then use the POLYGON tool to construct the triangle that has these points as vertices. (.ggb)
     
  3. Reflect these 3 points about the vertical plane shown. Then use the POLYGON tool to construct the triangle that has these points as vertices. (.ggb)
     
  4. Reflect these 3 points about the horizontal plane shown. Then use the POLYGON tool to construct the triangle that has these points as vertices. (.ggb)
     
  5. Below is a sphere with center (0,0,0) whose radius = 2 units. Notice how the point (2,0,0) lies ON this sphere. Plot and label 5 other points (x,y,z) that lie on this sphere. (.ggb)
     
  6. Below is a sphere with center (5,5,5) whose radius = 5 units. Plot and label six additional points (x,y,z) that lie on this sphere. (.ggb)