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Use Coordinate Geometry To Classify Parallelograms On The Coordinate Plane

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

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?

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?

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

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

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

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