THE CORRECT ANSWER IS (D). STATEMENT (1) ALONE SUFFICES TO ANSWER T...
6. The correct answer is (D). Statement (1) alone suffices to answer the question. Given
statement (1), side AB must be the same length as side BC. (The arc lengths are
proportionate to the side lengths.) Thus, all four sides of the rectangle are congruent,
and the rectangle is a square. Statement (2) alone also suffices to answer the question.
Assume hypothetically that ABCD is a square. Given that AB
5
2, the circle’s radius is
=
2, and the circle’s circumference is 2p
=
2. Statement (2) provides that minor arc AD
is exactly one-fourth that circumference, so all four sides of the rectangle must be
congruent—that is, ABCD must be a square.