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:
