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If \(\angle E = \angle S\) and \(G\) is the midpoint of \(ES\), prove that \(\triangle GET \equiv \triangle GST\).
 
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Proof:
 
 StatementsReasons
(i)\(\angle E \equiv \angle S\)
(ii)\(ET \equiv ST\)
(iii)\(G\) is the midpoint of \(ES\)
(iv)\(EG \equiv SG\)
(v)\(TG \equiv TG\)
(vi)\(\triangle GET \equiv GST\)
Answer variants:
vertical angles are congruent
given
by ASA(1,3,5)
if angles, then sides
follows from 1 and 4
by SSS(2, 4, 5) and also by SAS(2, 1, 4)
By reflexive property
follows from 3