iran-konkur 2020 Q125

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Not Maths
125. According to the figure below, $O$ is the intersection point of the diagonals of rectangle $ABCD$ ($\hat{B} = 90°$). Segments $OM$ and $ON$ are drawn parallel to $AD$ and $BC$ respectively. The ratio $\dfrac{AM}{BN}$ is:
[Figure: Rectangle ABCD with point O at intersection of diagonals, M and N on AB, segments OM and ON drawn parallel to AD and BC]
  • [(1)] 1
  • [(2)] 2
  • [(3)] Less than 1
  • [(4)] Greater than 1 and less than 2
\textbf{125.} According to the figure below, $O$ is the intersection point of the diagonals of rectangle $ABCD$ ($\hat{B} = 90°$). Segments $OM$ and $ON$ are drawn parallel to $AD$ and $BC$ respectively. The ratio $\dfrac{AM}{BN}$ is:

\textit{[Figure: Rectangle ABCD with point O at intersection of diagonals, M and N on AB, segments OM and ON drawn parallel to AD and BC]}

\begin{itemize}
    \item[(1)] 1
    \item[(2)] 2
    \item[(3)] Less than 1
    \item[(4)] Greater than 1 and less than 2
\end{itemize}