Check whether the given dilationis a similarity transformation or not.Given:The given dilation is12210202901.jpg

pedzenekO 2020-10-27 Answered

Check whether the given dilationis a similarity transformation or not.
Given:
The given dilation is
image

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Expert Answer

Mayme
Answered 2020-10-28 Author has 103 answers
Calculation:
From the figure, the given vertices are
A(0,0),B(-4,-4),C(4,-2),D(-2,-2),E(2,-1)
Find the distance (using distance formula) of corresponding sides and find the ratio.
AB=(40)2+(40)2=32=42
AD=(20)2+(20)2=8=22
ADAB=2242=12
AC=(40)2+(20)2=20=25
AE=(20)2+(10)2=5
AEAC=525=12
BC=[4(4)]2+[2(4)]2=68=217
DE=[2(2)]2+[1(2)]2=17
DEBC=17217=12
From the above result, the lenght of the sides are proportional.
By the use of SSS similarity,
ADEABC.
Hence the given dilation is a similarity transformation.
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