A rectangle PRSU, is divided into two smaller rectangles PQTU, and QRST by the line TQ. PQ = 10 cm. QR = 5 cm and RS = 10 cm. Points A, B, F are within rectangle PQTU, and points C, D, E are within the rectangle QRST. The closest pair of points among the pairs (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) are 10 3 cm apart.
Which of the following statements is necessarily true?
Choose the correct choice from the following answers
A) The closest pair of points among the six given points cannot be (F, C)
B) Distance between A and B is greater than that between F and C.
C) The closest pair of points among the six given points is (C, D), (D, E), or (C, E).
D) none of the above
E) Cannot be determined
Explanation :   We have not been given the distances between any two points.   Answer : C)The closest pair of points among the six given points is (C, , (D, E), or (C, E).
<result>D</result>
A rectangle PRSU, is divided into two smaller rectangles PQTU, and QRST by the line TQ. PQ = 10 cm. QR = 5 cm and RS = 10 cm. Points A, B, F are within rectangle PQTU, and points C, D, E are within the rectangle QRST. The closest pair of points among the pairs (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) are 10 3 cm apart.
Which of the following statements is necessarily true?