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Thin Slicing Geometry Proofs 2

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No Constraints (Givens)

The figure below has no constraints (givens). Drag each of the points around and observe how the figure changes. What kinds of shapes does it appear that you can create? Does it look like you could make a parallelogram? Under what conditions?

One Constraint (Givens)

The figure below has one constraint (given): Segment DE is congruent Segment BE. Drag each of the points around and observe how the figure changes. What kinds of shapes does it appear that you can create? Does it look like you could make a parallelogram? Under what conditions? What shapes does it appear you CAN'T create?

Two Constraints (Givens)

The figure below has two constraints (givens):
  1. Segment DE is congruent Segment BE
  2. Segment AE is congruent to Segment CE
Drag each of the points around and observe how the figure changes. What kinds of shapes does it appear that you can create? Does it look like you could make a parallelogram? Under what conditions? What shapes does it appear you CAN'T create?