Polygon E’F’G’H’ is a dilation image of the polygon
EFGH
What is the scale factor of the dilation?
A.3
B.6
C.12
D.1/3

The scale factor of the dilation is 3 ⇒ A

Step-by-step explanation:

In the given figure

∵ EFGH is a polygon

∵ E = (-2, 1), H = (-2, -1)

∵ EH is a vertical side

→ By using the 2nd rule above

∴ The length of EH = 1 - (-1) = 1 + 1

∴ The length of EH = 2

∵ E'F'G'H' is its image after dilation by scale factor k

∵ E' = (-2, 5), and H' = (-2, -1)

∵ E'H' is a vertical side

∴ The length of E'H' = 5 - (-1) = 5 + 1

∴ The length of E'H' = 6

→ By using the 1st rule above

∴   =   =   =   = k

∵   = k

∵ =

∴   = 3

∴ k = 3

∴ The scale factor of the dilation is 3

1/4 because there is 4 grades.