Materi: Matematika
Kelas: XI SMA
Bab: Transformasi Geometri
Tingkat Kesulitan: Mudah
Pembahasan:
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}2\\-1\end{array}\right] + \left[\begin{array}{ccc}3\\2\end{array}\right]\\\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}5\\1\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}-3\\4\end{array}\right] + \left[\begin{array}{ccc}3\\6\end{array}\right]\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}0\\10\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}4\\1\end{array}\right] = \left[\begin{array}{ccc}7\\-5\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}a\\b\end{array}\right] = \left[\begin{array}{ccc}4\\1\end{array}\right] - \left[\begin{array}{ccc}7\\-5\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}a\\b\end{array}\right] = \left[\begin{array}{ccc}-3\\6\end{array}\right][/tex]
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Materi: Matematika
Kelas: XI SMA
Bab: Transformasi Geometri
Tingkat Kesulitan: Mudah
Pembahasan:
Translasi
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right][/tex]
Titik [tex](2,-1)[/tex] di translasikan oleh [tex]T(3,2)[/tex][tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}2\\-1\end{array}\right] + \left[\begin{array}{ccc}3\\2\end{array}\right]\\\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}5\\1\end{array}\right][/tex]
Koordinat bayangan [tex](-3,4)[/tex] oleh translasi [tex]T(3,6)[/tex][tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}-3\\4\end{array}\right] + \left[\begin{array}{ccc}3\\6\end{array}\right]\\\\\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}0\\10\end{array}\right][/tex]
Titik [tex]G'(4,1)[/tex] adalah bayangan dari [tex]G(7,-5)[/tex] oleh translasi [tex]T[/tex][tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}x\\y\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}4\\1\end{array}\right] = \left[\begin{array}{ccc}7\\-5\end{array}\right] + \left[\begin{array}{ccc}a\\b\end{array}\right]\\\\\left[\begin{array}{ccc}a\\b\end{array}\right] = \left[\begin{array}{ccc}4\\1\end{array}\right] - \left[\begin{array}{ccc}7\\-5\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}a\\b\end{array}\right] = \left[\begin{array}{ccc}-3\\6\end{array}\right][/tex]