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

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
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
$$\displaystyle\triangle{E}{F}{G}\sim{E}{V}{W}$$