Question

tony performs a dilation on figure r. he uses a scale factor of 4 with a center of dilation at the origin. what are the coordinates of the image of vertex p? choose one option from each drop - down menu to answer the question. the coordinates of the image of vertex p are ( choose..., choose...).

Explanation:

Step1: Identify original coordinates

The original coordinates of vertex $P$ are $(-5,0)$.

Step2: Apply dilation formula

For a dilation with scale - factor $k = 4$ and center of dilation at the origin $(0,0)$, the formula for dilation of a point $(x,y)$ is $(kx,ky)$. Here, $x=-5$ and $y = 0$, so the new $x$ - coordinate is $4\times(-5)=-20$ and the new $y$ - coordinate is $4\times0 = 0$.

Answer:

$(-20,0)$