Question 651538
answer is: Rectangle with vertices at (-1, -7), (-1, -6), (5, -6) , (5, -7) 

here are the lengths of its sides:
(-1, -7), (-1, -6),

*[invoke Distance_Formula_for_Coordinate_Plane -1, -7, -1, -6]

(5, -6) , (5, -7) 
 *[invoke Distance_Formula_for_Coordinate_Plane 5, -7, 5, -6]

 (-1, -6), (5, -6)

*[invoke Distance_Formula_for_Coordinate_Plane -1, -6, 5, -6]

(-1, -7),  (5, -7) 
*[invoke Distance_Formula_for_Coordinate_Plane -1, -7, 5, -7]


here are the lengths of sides of rectangle ABCD on a coordinate grid are A(2, 6), B(2, 7), C(8, 7) and D(8, 6): 


A(2, 6), B(2, 7), : 

*[invoke Distance_Formula_for_Coordinate_Plane 2, 6, 2, 7]


C(8, 7) and D(8, 6)

*[invoke Distance_Formula_for_Coordinate_Plane 8, 7, 8, 6]


A(2, 6),C(8, 7)

*[invoke Distance_Formula_for_Coordinate_Plane 2, 6, 8, 7]


B(2, 7),D(8, 6)

*[invoke Distance_Formula_for_Coordinate_Plane 2, 7, 8, 6]

you can prove this way that all other rectangles are not congruent to ABCD