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Use Coordinate Proofs To Solve Problems

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

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

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

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

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?


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


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

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

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