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ITMC 2018 Grade 9 National Preliminary set01 Question 4

ITMC · ITMC 2018 Grade 9 National Preliminary set01

Question 4

Consider: (1) If $\triangle ABC\sim\triangle DEF$, then $\triangle ABC\cong\triangle DEF$. (2) If $\triangle ABC\cong\triangle DEF$, then $\triangle ABC\sim\triangle DEF$. (3) If $\triangle ABC\sim\triangle DEF$ and $AB=DE$, then $\triangle ABC\cong\triangle DEF$. Which option is true?
  1. Only (1) is false.
  2. Only (2) is false.
  3. Only (3) is false.
  4. (1) and (2) are false; (3) is true.
  5. Cannot make a conclusion.