Proving Squares and Rhombii

Graph Quadrilateral ABCD with vertices A(-1,3), B(-3,0), C(0,-2), and D(2,1)
What evidence do you have that this is or isn't a parallelogram?[br]What evidence do you have that this is or isn't a rectangle?[br]What evidence do you have that this is or isn't a rhombus?[br]What evidence do you have that this is or isn't a square?
Graph Quadrilateral ABCD with vertices A(1,5), B(-3,2), C(1,-1), and D(5,2)
What evidence do you have that this is or isn't a parallelogram?[br]What evidence do you have that this is or isn't a rectangle?[br]What evidence do you have that this is or isn't a rhombus?[br]What evidence do you have that this is or isn't a square?
Graph Quadrilateral ABCD with vertices A(1,5), B(-2,2), C(1,-1), and D(4,2)
What evidence do you have that this is or isn't a parallelogram?[br]What evidence do you have that this is or isn't a rectangle?[br]What evidence do you have that this is or isn't a rhombus?[br]What evidence do you have that this is or isn't a square?
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– MrCarmack

Information: Proving Squares and Rhombii