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SASMO 2020 Grade 8 Question 12

SASMO · SASMO 2020 Grade 8

Question 12

In quadrilateral $ABCD$, $M,N$ are midpoints of $AB,DC$, respectively. Segments $AN,BN,DM,CM$ divide it into seven regions of different areas $S_1,S_2,\ldots,S_7$ as shown. Which relationship is true?

Question illustration
  1. $S_2+S_4=S_6$
  2. $S_1+S_7=S_4$
  3. $S_2+S_3=S_4$
  4. $S_1+S_6=S_4$
  5. None of the above