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3 years ago

Here is a polygon. The side lengths are: AB= 18 units, BC= 12 units, CD= 6 units, and DA= 24 units.

Mathematics

1 answer:

dezoksy [38]3 years ago

6 0

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

Learn More:

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Step-by-step explanation:

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