Question

16 fill in the blank 2 points △abc with vertices a(2,4), b(3, - 2) and c(5,0) is dilated by a scale factor of 2. where is the point a located? △abc con los vértices a(2,4), b(3, - 2) y c(5,0) se dilata por un factor de escala de 2. ¿dónde está ubicado el punto a? a( type your answer_, type your answer_)

Explanation:

Step1: Recall dilation formula

When a point $(x,y)$ is dilated by a scale factor $k$ about the origin, the new - point $(x',y')$ is given by $(x',y')=(k\times x,k\times y)$.

Step2: Identify the values of $x$, $y$ and $k$

For point $A(2,4)$ and scale factor $k = 2$, where $x = 2$ and $y = 4$.

Step3: Calculate the new coordinates

$x'=k\times x=2\times2 = 4$ and $y'=k\times y=2\times4 = 8$.

Answer:

$(4,8)$