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Move the vertices and record the lengths of DF and AC. Look for any invariants

Move Vertex B, is the angle measurement an invariant?

Move Vertex B, is the sum of AB and BC an invariant?

Move Vertex B, is the perimeter if ABC an invariant?

Move Vertex B, is the area of ABC an invariant?

Move Vertex B, is the sum of the angle measures an invariant?

Move the vertices and record the lengths of DF and AC. Look for any invariants

Move point D around the circle. What invariant is shown?