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Quadrilateral midpoints

  • Join the midpoints of the sides of the quadrilateral ABCD to form another quadrilateral PQRS.
  • Any observations?
  • Move the vertices of the original quadrilateral ABCD.
  • Any conjectures?
  • Prove your conjectures!
  • Can you make a different proof? And another?

Conjectures

Proof 1

Proof 2

Proof 3