write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.
write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.
Answer
Answer:
$U'(- 5,-10)$ $V'(0,10)$ $W'(5,-10)$
Explanation:
Step1: Identificar coordenadas originales
$U(-1,-2)$, $V(0,2)$, $W(1,-2)$
Step2: Aplicar fórmula de dilatación
Para una dilatación centrada en el origen con factor $k = 5$, la fórmula es $(x,y)\to(kx,ky)$. Para $U(-1,-2)$: $(-1\times5,-2\times5)=(-5,-10)$ Para $V(0,2)$: $(0\times5,2\times5)=(0,10)$ Para $W(1,-2)$: $(1\times5,-2\times5)=(5,-10)$