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Are they scaled copies or not? If so how do I find out?

Are they scaled copies or not? If so how do I find out?-example-1

1 Answer

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1) Find the length of the diagonals of the greater rhombus

NJ=9 units

XY=6 units

Find the the ratio

NJ/XY=9/6-------> 3/2

2) Find the length of the diagonals of the smaller rhombus

HS=6 units

ZC=4 units

Find the the ratio

HS/ZC=6/4-------> 3/2

so

NJ/XY=HS/ZC--------> the rhombus are similar

the scale factor is equal to ------> 3/2=1.5

measure greater rhombus =scale factor*measure smaller rhombus

measure greater rhombus =1.5*measure smaller rhombus

measure smaller rhombus=(measure greater rhombus/1.5)

therefore

the answer is

Yes , they are a scaled copies and the scale factor is equal to 1.5


User Gennadiy Rozental
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