Question

write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.
s((□,□))
t((□,□))
u((□,□))
practice in the app

Explanation:

Step1: Identify original coordinates

Original vertices: $S(-2, -1)$, $T(1, -1)$, $U(1, 1)$, $V(-2, 1)$

Step2: Dilate each coordinate by 5

For a point $(x,y)$ with scale factor $k=5$, new point is $(5x,5y)$:

• $S'$: $(-2 \times 5, -1 \times 5) = (-10, -5)$
• $T'$: $(1 \times 5, -1 \times 5) = (5, -5)$
• $U'$: $(1 \times 5, 1 \times 5) = (5, 5)$
• $V'$: $(-2 \times 5, 1 \times 5) = (-10, 5)$

Answer:

$S'(-10, -5)$
$T'(5, -5)$
$U'(5, 5)$
$V'(-10, 5)$