Answer:Given : Polygon side lengths are: AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.  
polygon ABCD is dilated using center A and scale factor  1/2
polygon ABCD is dilated using center D and scale factor  1/3
To Find :
side lengths of dilated polygon EFGH
EF= ____, FG= ____, GH= ____, HE=
side lengths of dilated polygon IJKL?
IJ= ____, JK= ____, KL= ____, LI= ____
Solution:
AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.  
EF=  AB/2  = 18/2 = 9
FG = BC/2 = 12/2 = 6
GH = CD/2 = 6/2 = 3
HI = DA/2 = 24/2 = 12
IJ= AB/3 = 18/3 = 6
JK = BC/3 = 12/3 = 4
KL= CD/3 = 6/3 = 2
LI =  DA/3 = 24/3 = 8
polygon  EFGH is Dilated from polygon ABCD
Hence polygon  EFGH ≈ polygon ABCD
polygon  IJKL is Dilated from polygon ABCD
Hence polygon   IJKL ≈ polygon ABCD
As polygon ABCD   ≈  polygon   IJKL  & polygon  EFGH
=>   polygon  EFGH ≈ polygon   IJKL
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Step-by-step explanation: