\(a,\Rightarrow C,A,D\) \(thẳng\) \(hàng\Rightarrow\overrightarrow{CA}+\overrightarrow{CD}=\overrightarrow{0}\Leftrightarrow\overrightarrow{CA}=\overrightarrow{DC}\)
\(D\left(x;y\right)\Rightarrow\overrightarrow{CA}=\overrightarrow{DC}\Leftrightarrow\left\{{}\begin{matrix}-1-x=2\\-2-y=0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=-2\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=-3\\y=-2\end{matrix}\right.\)\(\Rightarrow D\left(-3;-2\right)\)
\(b,E\left(xo;yo\right)\Rightarrow\overrightarrow{AE}=\overrightarrow{BC}\)\(\Leftrightarrow\left\{{}\begin{matrix}xo-1=-3\\yo+2=-5\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}xo=-2\\yo=-7\end{matrix}\right.\)\(\Rightarrow E\left(-2;-7\right)\)
\(c,\Rightarrow G\left(xG;yG\right)\Rightarrow\left\{{}\begin{matrix}xG=\dfrac{1+2-1}{3}=\dfrac{2}{3}\\yG=\dfrac{-2+3-2}{3}=-\dfrac{1}{3}\end{matrix}\right.\)\(\Rightarrow G\left(\dfrac{2}{3};-\dfrac{1}{3}\right)\)
