The region indicated in the diagram is described by

Question

The region indicated in the diagram  is described by

Quizplus · Accepted Answer

The region indicated in the diagram is the area between the lines y = x and y = x + 2. This means that the x and y values have to be equal, and the length of the vertical and horizontal segments is 2. The coordinates of the square vertices can be found by setting x = y and solving for x: 
y = x, y = x + 2
x = y, x = y - 2
Therefore, the vertices are (0, 2), (0, -2), (2, 0), and (-2, 0). The coordinate of the midpoint of the square is (0, 0), which corresponds to the center of the region. The choice with these coordinates is C.

The Region Indicated in the Diagram Is Described by