State if the triangles are similar. If so state how you know they are similar and complete the similarity statement.

rocedwrp 2021-08-04 Answered
State if the triangles are similar. If so state how you know they are similar and complete the similarity statement.
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2k1enyvp
Answered 2021-08-05 Author has 25688 answers
Step 1
The lines VW and GF are parallel.
And the rest two lines act as traversals
Step 2
\(\displaystyle\angle{G}{E}{F}\stackrel{\sim}{=}\angle{W}{E}{V}\) (Vertically opposite angles)
\(\displaystyle\angle{E}{F}{G}\stackrel{\sim}{=}\angle{E}{V}{W}\) (Alternate interior angles because \(\displaystyle{F}{G}{p}{a}{r}{a}{l}\le{l}{W}{V}\))
\(\displaystyle\angle{F}{G}{E}\stackrel{\sim}{=}{V}{W}{E}\) (Alternate interior angles)
Hence by AAA criterion
\(\displaystyle\triangle{E}{F}{G}\sim{E}{V}{W}\)
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