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If \(\angle E = \angle S\) and \(G\) is the midpoint of \(ES\), prove that \(\triangle GET \equiv \triangle GST\).
![YCIND150720223963TM8geos115.png](https://resources.cdn.yaclass.in/fed5c301-91a4-4f07-a8b1-a7d104c8857e/YCIND150720223963TM8geos115w300.png)
Proof:
Statements | Reasons | |
(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