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In Fig. 6.31, if $OA\cdot OB = OC\cdot OD$, which pair of triangles is used to apply the SAS similarity criterion? 
A$\triangle AOB$ and $\triangle COD$
B$\triangle AOD$ and $\triangle COB$
C$\triangle AOC$ and $\triangle BOD$
D$\triangle ACD$ and $\triangle CBA$
Answer & Solution
Correct answer: B. $\triangle AOD$ and $\triangle COB$
From $OA\cdot OB = OC\cdot OD$, we get $\frac{OA}{OC}=\frac{OD}{OB}$. Also, $\angle AOD=\angle COB$ because they are vertically opposite angles. Therefore, the triangles compared by SAS are $\triangle AOD$ and $\triangle COB$.
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