Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.
p((□,□))
q((□,□))

Explanation:

Step1: Identify original coordinates

Original vertices: $P(-2, -1)$, $Q(-2, 2)$, $R(2, 2)$, $S(2, -1)$

Step2: Apply dilation rule

For a dilation centered at origin with scale factor $k$, new coordinate $(x', y') = (k \cdot x, k \cdot y)$ where $k=4$.

• For $P$: $x' = 4 \times (-2) = -8$, $y' = 4 \times (-1) = -4$
• For $Q$: $x' = 4 \times (-2) = -8$, $y' = 4 \times 2 = 8$
• For $R$: $x' = 4 \times 2 = 8$, $y' = 4 \times 2 = 8$
• For $S$: $x' = 4 \times 2 = 8$, $y' = 4 \times (-1) = -4$

Answer:

$P'(-8, -4)$
$Q'(-8, 8)$
$R'(8, 8)$
$S'(8, -4)$