Proving Squares and Rhombii

Author:
MrCarmack

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? What evidence do you have that this is or isn't a rectangle? What evidence do you have that this is or isn't a rhombus? 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? What evidence do you have that this is or isn't a rectangle? What evidence do you have that this is or isn't a rhombus? 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? What evidence do you have that this is or isn't a rectangle? What evidence do you have that this is or isn't a rhombus? What evidence do you have that this is or isn't a square?