Problem:
Each of the sides of five congruent rectangles is labeled with an integer, as shown above. These five rectangles are placed, without rotating or reflecting, in positions through so that the labels on coincident sides are equal.
Which of the rectangles is in position
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Only the rectangle that goes in position must match on both vertical sides. Since rectangle is the only one for which these matches exist, it must be the one that goes in position . Hence the rectangle that goes in position must be .
