TASK DEFINITION: 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.
PROBLEM: In \(\triangle { ABC } \), \(\overline { AB } = \overline { BC } \) and \(\overline { AB } \perp \overline { BC } \). If \(\overline { BC } = 10\), what is the area of the triangle?
(A)\(10 \sqrt { 2 } \) (B)25 (C)50 (D)\(50 \sqrt { 2 } \) (E)100

SOLUTION: C

PROBLEM: What is the area of a circle that is circumscribed around a square that has sides of length 6?
(A)\(6\pi\) (B)\(18\pi\) (C)\(18 \sqrt { 2 } \pi\) (D)\(36\pi\) (E)\(72\pi\)

SOLUTION: B

PROBLEM: Lines m and n are parallel. If lines m and n are cut by three different transversals, what is the least number of points of intersection that can occur among the five lines?
(A)3 (B)4 (C)5 (D)6 (E)8

SOLUTION:
B