You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

Input: Consider Input: If the graph of the function g in the xy-plane contains the points (0,4), (-2,0), and (2,0), which of the following could be true? I. The graph of g is a parabola. II. The graph of g has a maximum value. III. The graph of g is a line.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III

Output: D


Input: Consider Input: Square ABCD in the coordinate plane has points A(1,3), B(5,7) and C(9,3). Which of the following could be the coordinates of point D?
(A)(3,1) (B)(3,-3) (C)(5,-1) (D)(5,3) (E)(7,-5)

Output: C


Input: Consider Input: In square \(ABCD\), vertex \(A\) is at (-1, -1) and vertex \(C\) is at (4, 2). What is the area of square \(ABCD\)?
(A)9 (B)15 (C)17 (D)25 (E)34


Output: C