Jika titik G'(4,-1) adalah bayangan titik G(7,-5) oleh translasi T

Jika titik $G^{\prime }(4,-1)$ adalah bayangan titik $G(7,-5)$ oleh translasi T, nilai T adalah ...

A. (2,5)

B. (-3,4)

C. (1,7)

D. (4,2)

E. (4,3)

Penyelesaian

$G^{\prime }(4,-1)\to G^{\prime }(x^{\prime },y^{\prime })$

$G=(7,-5)\to G(x,y)$

$G(x,y)\stackrel{T\left(\begin{array}{c}a\\ b\end{array}\right)}{\to }{G}^{\prime }(x^{\prime },y^{\prime })$

$\left(\begin{array}{c}{x}^{\prime }\\ y^{\prime }\end{array}\right)=\left(\begin{array}{c}x\\ y\end{array}\right)+\left(\begin{array}{c}a\\ b\end{array}\right)$

$\left(\begin{array}{c}4\\ -1\end{array}\right)=\left(\begin{array}{c}7\\ -5\end{array}\right)+\left(\begin{array}{c}a\\ b\end{array}\right)$

$\left(\begin{array}{c}4-7\\ -1+5\end{array}\right)=\left(\begin{array}{c}a\\ b\end{array}\right)$

$\left(\begin{array}{c}-3\\ 4\end{array}\right)=\left(\begin{array}{c}a\\ b\end{array}\right)$

Jawaban : B

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif