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Use Coordinate Proofs To Solve Problems

What classification does a quadrilateral with vertices at (1, 1), (4, 1), (4, 5), and (1, 4) fall into?

For a quadrilateral with vertices at (-1, 0), (1, 3), (5, 3), and (3, 0), what kind of trapezoid is it?

Given the vertices (0, 0), (6, 0), and (3, 4), what type of triangle is formed?

A triangle has vertices at (0, 0), (4, 0), and (2, 2). What is the classification of this triangle?


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

If the coordinates of a triangle's vertices are (-1, 2), (3, 6), and (7, 2), what category does the triangle fall into?


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 kite is formed?

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