Question

triangle abc was dilated by 400% from the origin. a prime is located at (12,4). where is point a located? (0.03,0.01) type your answer as (number,number) with no spaces

Explanation:

Step1: Convert dilation percentage to factor

A dilation of 400% means a dilation factor of $400\div100 = 4$.

Step2: Find original - point coordinates

If a point $(x',y')$ is the result of dilating a point $(x,y)$ by a factor $k$ from the origin, then $x'=kx$ and $y' = ky$. We know $x' = 12$, $y'=4$ and $k = 4$. So $x=\frac{x'}{k}=\frac{12}{4}=3$ and $y=\frac{y'}{k}=\frac{4}{4}=1$.

Answer:

(3,1)