Transformasi Geometri (2) Rotasi dan Dilatasi

Perkalian

Penjumlahan

Pindah ruas

$$\cos-\sin$$   $$\sin+\cos$$  

$$A'\left(-1\ ,\ 4\right)$$  Searah jarum jam

$$A'\left(-1\ ,\ 4\right)$$  Berlawanan jarum jam

$$A'\left(4\ ,\ -1\right)$$  Searah jarum jam

$$A'\left(4\ ,\ -1\right)$$  Berlawanan jarum jam

$$\left(0\ ,\ 0\right)$$

$$\left(-1\ ,\ 4\right)$$

$$\left(4\ ,\ 1\right)$$

$$\left(4\ ,\ 4\right)$$

$$x'=4\cos90\degree-\sin90\degree$$   $$y'=4\sin90\degree-\cos90\degree$$  

$$x'=4\cos90\degree-\sin90\degree$$   $$y'=4\sin90\degree+\cos90\degree$$  

$$x'=4\cos90\degree+\sin90\degree$$   $$y'=4\sin90\degree-\cos90\degree$$  

$$x'=4\cos90\degree+\sin90\degree$$   $$y'=4\sin90\degree+\cos90\degree$$  

$$B'\left(3\ ,\ 3\right)$$  Searah jarum jam

$$B'\left(6\ ,\ -2\right)$$  Berlawanan jarum jam

$$B'\left(6\ ,\ -2\right)$$  Searah jarum jam

$$B'\left(3\ ,\ 3\right)$$  Berlawanan jarum jam

$$\left(0\ ,\ 0\right)$$

$$\left(2\ ,\ -1\right)$$

$$\left(3\ ,\ 3\right)$$

$$\left(6\ ,\ -2\right)$$

$$x'=\left(6-2\right)\cos270\degree+\left(-2+1\right)\sin270\degree+2$$ $$y'=\left(6-2\right)\sin270\degree+\left(-2+1\right)\cos270\degree-1$$  

$$x'=\left(6-2\right)\cos270\degree+\left(-2+1\right)\sin270\degree+2$$   $$y'=\left(6-2\right)\sin270\degree-\left(-2+1\right)\cos270\degree-1$$  

$$x'=\left(6-2\right)\cos270\degree-\left(-2+1\right)\sin270\degree+2$$   $$y'=\left(6-2\right)\sin270\degree+\left(-2+1\right)\cos270\degree-1$$  

$$x'=\left(6-2\right)\cos270\degree-\left(-2+1\right)\sin270\degree+2$$   $$y'=\left(6-2\right)\sin270\degree-\left(-2+1\right)\cos270\degree-1$$  

$$A'\left(6,4\right)$$  

$$A'\left(-7,-5\right)$$  

$$A'\left(7,5\right)$$  

$$A'\left(-6,-4\right)$$  

$$x'=\left(7-2\right)\cos90\degree-\left(5-3\right)\sin90\degree+2$$   $$y'=\left(7-2\right)\sin90\degree+\left(5-3\right)\cos90\degree+3$$  

$$x'=\left(7-2\right)\cos90\degree-\left(5-3\right)\cos90\degree+2$$   $$y'=\left(7-2\right)\sin90\degree+\left(5-3\right)\sin90\degree+3$$  

$$x'=\left(7-2\right)\cos90\degree-\left(7-3\right)\sin90\degree+2$$   $$y'=\left(5-2\right)\sin90\degree+\left(5-3\right)\cos90\degree+3$$  

$$x'=\left(7-2\right)\cos90\degree-\left(7-3\right)\cos90\degree+2$$   $$y'=\left(5-2\right)\sin90\degree+\left(5-3\right)\sin90\degree+3$$  

$$2$$ kali dan kurangi

Penjumlahan

Perkalian

$$\cos-\sin$$   $$\sin+\cos$$  

$$x'=x+a$$   $$y'=y+b$$  

$$x'=kx$$ $$y'=ky$$  

$$x'=2a-k$$   $$y'=2b-k$$  

$$x'=x\cos\alpha-y\sin\alpha$$   $$y'=x\sin\alpha+y\cos\alpha$$  

$$x'=k\left(x-m\right)$$   $$y'=k\left(y-n\right)$$  

$$x'=kx$$ $$y'=ky$$  

$$x'=2a-k$$   $$y'=2b-k$$  

$$x'=k\left(x-m\right)+m$$   $$y'=k\left(y-n\right)+n$$  

$$x'=2\left(7\right)$$   $$y'=2\left(5\right)$$  

$$x'=2\left(0\right)$$   $$y'=2\left(0\right)$$  

$$x'=7\left(0\right)$$   $$y'=5\left(0\right)$$  

$$x'=2\left(5\right)$$   $$y'=2\left(7\right)$$  

$$x'=-2\left(1-3\right)$$   $$y'=-2\left(1-5\right)$$  

$$x'=-2\left(3\right)$$ $$y'=-2\left(5\right)$$  

$$x'=-2\left(1\right)$$   $$y'=-2\left(1\right)$$  

$$x'=-2\left(1-3\right)+3$$   $$y'=-2\left(1-5\right)+5$$  

$$D'\left(12\ ,\ -16\right)$$  

$$D'\left(-12\ ,\ 16\right)$$  

$$D'\left(4\ ,\ -3\right)$$  

$$D'\left(-4\ ,\ 3\right)$$