Sebuah persegi panjang KLMN mempunyai koordinat titik K(-1,2), L(3,2) dan M(3,-1). Persegi panjang t.... Question from @JoiceJasellyn

October 2018 1 748 Report

Sebuah persegi panjang KLMN mempunyai koordinat titik K(-1,2), L(3,2) dan M(3,-1). Persegi panjang tersebut didilatasikan dengan titik pusat P(2,1) dan faktor skala 3, kemudian dilanjutkan dengan rotasi dengan pusat O(0,0) sejauh phi/2. Bayangan titik N adalah...

Kyuubiki Dilatasi Titik :
K => $k \left[\begin{array}{ccc}a-m\\b-n\end{array}\right] + 
\left[\begin{array}{ccc}m\\n\end{array}\right] \\ = 3 
\left[\begin{array}{ccc}(-1)-2\\2-1\end{array}\right] + 
\left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = 3 
\left[\begin{array}{ccc}-3\\1\end{array}\right] + 
\left[\begin{array}{ccc}2\\1\end{array}\right] \\ = 
\left[\begin{array}{ccc}-9\\3\end{array}\right] + 
\left[\begin{array}{ccc}2\\1\end{array}\right] \\ = \left[\begin{array}{ccc}-7\\4\end{array}\right]$

L => $k \left[\begin{array}{ccc}a-m\\b-n\end{array}\right] + \left[\begin{array}{ccc}m\\n\end{array}\right] \\ = 3 \left[\begin{array}{ccc}3-2\\2-1\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = 3 \left[\begin{array}{ccc}1\\1\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ = \left[\begin{array}{ccc}3\\3\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = \left[\begin{array}{ccc}5\\4\end{array}\right]$

M=> $k \left[\begin{array}{ccc}a-m\\b-n\end{array}\right] + \left[\begin{array}{ccc}m\\n\end{array}\right] \\ = 3 \left[\begin{array}{ccc}3-2\\(-1)-1\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = 3 \left[\begin{array}{ccc}1\\-2\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ = \left[\begin{array}{ccc}3\\-6\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = \left[\begin{array}{ccc}5\\-5\end{array}\right]$

N=> $k \left[\begin{array}{ccc}a-m\\b-n\end{array}\right] + \left[\begin{array}{ccc}m\\n\end{array}\right] \\ = 3 \left[\begin{array}{ccc}x-2\\y-1\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = \left[\begin{array}{ccc}3x-6\\3y-3\end{array}\right] + \left[\begin{array}{ccc}2\\1\end{array}\right] \\ \\ = \left[\begin{array}{ccc}3x-4\\3y-2\end{array}\right]$

Rotasi Titik :
K=> $\left[\beginno numeric noise key 1175no numeric noise key 1174cos \alpha & - sin \\sin cos \endno numeric noise key 1173\right] 1172no numeric noise key 1171a \\b 1170\right] \\ =\left[\beginNO NUMERIC NOISE KEY 1169no numeric noise key 1168cos 90 90\\sin 1167\right] 1166no numeric noise key 1165-7 \\4 1164\right] 1163no numeric noise key 11620 1\\1 0 1161\right]\left[\beginno numeric noise key 1160no numeric noise key 1159-7 1158\right]><br /><br /><br /><br />L=> <img src=$

2 votes Thanks 7

Kyuubiki jawaban nya (-4,5)

JoiceJasellyn mkasih banyak ya