Two Parallelograms, Common Vertex
- Author:
- Arthur Lee
In this exploration, you will make 2 parallelograms with 6 given points and one shared vertex to be found.
Set up:
- Adjust the 6 blue points to make 2 parallelograms with a fixed common vertex O.
- The 2 quadrilaterals will be shaded only if they are parallelograms.
- After making the parallelograms, hide all the segments and point O.
- Move the point P to any position so that it will make 2 parallelograms with all the 6 blue points.
- The original point O is one possible position.
- What other possible positions can you find?
- How many possible positions can there be?
- You may click the 'hint' so that an answer will be revealed when P is close enough.