GeoGebra: Open Middle - Building Parallelograms
The quadrilateral shown here has 4 vertices. Each vertex has 2 coordinates (x, y). Your task: Reposition (move) points A, B, C, and D so that

  • Coordinates take on integer values 0 – 9
  • There are no repeated coordinates
  • The quadrilateral formed is a parallelogram

Note: Repeated coordinates, if any, are displayed to the right.

Create a parallelogram below. Be sure the vertices have no repeated coordinates!

Use any GeoGebra tool(s) in the app above to clearly show how you know the quadrilateral you just formed is a parallelogram. Be sure to fully explain your reasoning!

Create another parallelogram different from the one you created above. Be sure the vertices have no repeated coordinates!

Use any GeoGebra tool(s) in the app above to clearly show how you know the quadrilateral you just formed is a parallelogram. Be sure to fully explain your reasoning!


Math Topics
Coordinates, Geometry
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade

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