Question

write the coordinates of the vertices after a dilation with a scale factor of 2, centered at the origin.

Explanation:

Step1: Identify original vertex coordinates

Original coordinates: $D(4, -2)$, $E(5, 2)$, $F(-4, 3)$

Step2: Apply dilation scale factor 2

For each point $(x,y)$, new point is $(2x, 2y)$

• For $D$: $2\times4=8$, $2\times(-2)=-4$ → $(8, -4)$
• For $E$: $2\times5=10$, $2\times2=4$ → $(10, 4)$
• For $F$: $2\times(-4)=-8$, $2\times3=6$ → $(-8, 6)$

Answer:

$D'(8, -4)$, $E'(10, 4)$, $F'(-8, 6)$