Question

write the coordinates of the vertices after a dilation with a scale factor of 2, centered at the origin. e (, ) f (, ) g (, ) h (, )

Explanation:

Step1: Identify original vertices

Original coordinates: $E(-4, -6)$, $F(-4, -2)$, $G(2, -2)$, $H(2, -6)$

Step2: Apply dilation scale factor

Multiply each coordinate by 2:
$E'(2\times(-4), 2\times(-6))$
$F'(2\times(-4), 2\times(-2))$
$G'(2\times2, 2\times(-2))$
$H'(2\times2, 2\times(-6))$

Step3: Calculate new coordinates

$E' = (-8, -12)$
$F' = (-8, -4)$
$G' = (4, -4)$
$H' = (4, -12)$

Answer:

$E'(-8, -12)$
$F'(-8, -4)$
$G'(4, -4)$
$H'(4, -12)$