SMO 2025 Junior Round 1 Question 2

Question 2

The diagram below shows six points, $A,B,C,M,N$ and $O$ on the real number line. $M$ is the midpoint of the line segment $AB$, $N$ is the midpoint of the line segment $BC$ and $O$ the midpoint of the line segment $AC$.

Question illustration

Which of the following statements in correct?

$CN<OM$
$CN=OM$
$CN>OM$
$CN+OM=AB$
None of the above