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Use Coordinate Geometry To Classify Parallelograms On The Coordinate Plane

If the vertices of a quadrilateral are (0, 0), (3, 1), (5, 5), and (2, 4), what category does the quadrilateral fall into?

What type of parallelogram is formed by the points (-1, 0), (1, 3), (5, 3), and (3, 0)?

If the coordinates of a quadrilateral are (1, 2), (5, 2), (7, 6), and (3, 6), what category does the quadrilateral fall into?


For a quadrilateral with vertices at (0, 0), (3, 1), (3, 4), and (0, 3), what type of parallelogram is formed?


Given the vertices (2, 3), (6, 3), (7, 7), and (3, 7), what is the classification of the quadrilateral?

Given the points (1, 1), (4, 1), (4, 4), and (1, 4), what type of parallelogram is formed?

For the points (1, 1), (5, 1), (6, 5), and (2, 5), what type of parallelogram is formed?

What classification does a quadrilateral with vertices at (-2, 0), (1, 3), (5, 3), and (2, 0) fall into?

Given the coordinates A(0, 0), B(4, 2), C(6, 6), and D(2, 4), what type of parallelogram is formed?

If a quadrilateral has vertices at (1, 2), (4, 5), (8, 5), and (5, 2), what kind of parallelogram is it?