Coordinate Proofs Rectangles & Triangles Main Lesson Assignment Print out this assignment and write in your answers. Do not attempt to type your work into this document 1 Prove the triangle ABC shown in the graph is a RIGHT triangle using the coordinates of its vertices: A(- 5, 1), B(5,1), and C(4,4). 2. Prove the rectangle ABC D shown in the graph has congruent diagonals using the coordinates of its vertices: A(- 4, 1), B(-3, - 3], C(5, - 1], and D(4, 3). 3 Prove the parallelogram ABC D shown in the graph has diagonals that bisect each other using the coordinates of A (-2,4) its vertices: A(- 2, 4). B[- 4, - 1), C[2, 0], and D(4, 3). D (4. 3) B (-4.1) c(2, 0)4. Prove the quadrilateral ABC D shown in the graph is a RECTANGLE using the coordinates of its vertices: A[- 1,5), B(- 4, 2), C(1, - 3), and D(4, 0) and showing that consecutive sides are perpendicular. 5 . The coordinates of Quadrilateral QRST are Q( - 3, 1), R (- 2, 4), S( 4, 2), T( 3, - 1] a. Algebraically verify that the Quadrilateral is a Rectangle by showing that consecutive sides are perpendicular. b. Algebraically verify the diagonals 25 and RT are congruent.6. Given AB is the side of a square what are the possible other 2 endpoints? A B7. Given AB is the diagonal of a square, what are the 4 endpoints? B