Hong Hong cut four pieces of paper in the handicraft class. If you use paper strips to form a triangular pattern.

B: Two rectangles, although the four corners are equal, but the corresponding sides are not proportional, so option B meets the requirements;

C: the shape is the same, which conforms to the definition of similar shape, so option C does not meet the requirements;

D: the shape is the same, which conforms to the definition of similar shape, so the D option does not meet the requirements;

Therefore, choose: B.