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Official Solution:
If points A, B, C, and D form a quadrilateral, is AC longer than BD?
Statement (1) by itself is insufficient. Imagine a kite-shaped figure with an obtuse angle on top.
Statement (2) by itself is insufficient. S2 means that the quadrilateral is a rhombus.
Statements (1) and (2) combined are sufficient. S2 means that the quadrilateral is a rhombus, while S1 tells us which diagonal of the rhombus is longer.
Answer: C
If points A, B, C, and D form a quadrilateral, is AC longer than BD?
Statement (1) by itself is insufficient. Imagine a kite-shaped figure with an obtuse angle on top.
Statement (2) by itself is insufficient. S2 means that the quadrilateral is a rhombus.
Statements (1) and (2) combined are sufficient. S2 means that the quadrilateral is a rhombus, while S1 tells us which diagonal of the rhombus is longer.
Answer: C
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