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Quadrangle Exploration

Complete Quadrangle: 4 non-collinear points connected by 6 lines

Drag points A, B, C, or D to transform the quadrangle.

1. Can you create a convex quadrilateral, a concave quadrilateral, and a non-quadrilateral ("bow-tie")? 2. What types of conics are possible? What conditions create the different types of conics?