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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?

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

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


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

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?

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


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