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Australian AMC 2018 - Senior Question 9

AMC AUSTRALIA · Australian AMC 2018 - Senior

Question 9

In the triangle $ABC$, $M$ is the midpoint of $AB$.

Which one of the following statements must be true?

Question illustration
  1. $\angle CAM=\angle ACM$
  2. $\angle CMB=2\angle CAM$
  3. $AC=2BC$
  4. $CM=BC$
  5. Area $\triangle AMC=$ Area $\triangle MBC$