Question

Is a shape with the vertices (2, 4), (2, -2), (-1, -2), and (-2, 4) best classified as a parallelogram, rectangle, or neither?

Answer 1

Also, Is a shape with the vertices (2, 2), (5, -5), (1, -7), and (-2, 0) best classified as a parallelogram, rectangle, or neither?

Answer 2

The first one
http://www.wolframalpha.com/input/?i=quadrilateral%28+%282%2C+4%29%2C+%282%2C+-2%29%2C+%28-1%2C+-2%29%2C+%28-2%2C+4%29%29+

Neither

Answer 3

For the second one
http://www.wolframalpha.com/input/?i=quadrilateral%28%282%2C+2%29%2C+%285%2C+-5%29%2C+%281%2C+-7%29%2C+%28-2%2C+0%29+%29+

It is a parallelogram. Why?
It is not a rectangle. Why?