Proof:
Given ΔGWN is an equilateral triangle.
WS ≅ WI
∠SWG ≅ ∠IWN
To prove: ΔSWG ≅ ΔIWN
In ΔSWG and ΔIWN,
WS ≅ WI (given sides)
∠SWG ≅ ∠IWN (given angles)
WG ≅ WN (Equal sides of ΔGWN)
Therefore by Side-Angle-Side(SAS) congruence rule,
ΔSWG ≅ ΔIWN
Hence proved.
