120. In a trapezoid, a line segment connecting the midpoints of the legs divides the area in the ratio $3$ to $5$. What is the ratio of the parallel sides of the trapezoid? (1) $\dfrac{1}{4}$ (2) $\dfrac{1}{3}$ (3) $\dfrac{2}{5}$ (4) $\dfrac{3}{5}$ 121. In triangle $ABC$, $M$ is the midpoint of $BC$. The bisectors of angles $AMB$ and $AMC$ intersect the two sides of the triangle at $P$ and $Q$ respectively. Point $O$ is the intersection of $AM$ and $PQ$. What does $OM$ equal? (1) $\dfrac{1}{4}BC$ (2) $AQ$ (3) $OA$ (4) $OP$
\textbf{120.} In a trapezoid, a line segment connecting the midpoints of the legs divides the area in the ratio $3$ to $5$. What is the ratio of the parallel sides of the trapezoid?
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(1) $\dfrac{1}{4}$ \hspace{2cm} (2) $\dfrac{1}{3}$ \hspace{2cm} (3) $\dfrac{2}{5}$ \hspace{2cm} (4) $\dfrac{3}{5}$
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\textbf{121.} In triangle $ABC$, $M$ is the midpoint of $BC$. The bisectors of angles $AMB$ and $AMC$ intersect the two sides of the triangle at $P$ and $Q$ respectively. Point $O$ is the intersection of $AM$ and $PQ$. What does $OM$ equal?
\begin{center}
(1) $\dfrac{1}{4}BC$ \hspace{2cm} (2) $AQ$ \hspace{2cm} (3) $OA$ \hspace{2cm} (4) $OP$
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