Question

write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.
d(
e(

Explanation:

Step1: Identify original coordinates

Original vertices: $D(1, -1)$, $E(1, 2)$, $F(-2, 0)$

Step2: Apply dilation rule

For dilation centered at origin with scale factor $k=5$, new coordinate $(x', y') = (5x, 5y)$

• For $D$: $x' = 5\times1 = 5$, $y' = 5\times(-1) = -5$
• For $E$: $x' = 5\times1 = 5$, $y' = 5\times2 = 10$
• For $F$: $x' = 5\times(-2) = -10$, $y' = 5\times0 = 0$

Answer:

$D'(5, -5)$
$E'(5, 10)$
$F'(-10, 0)$