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Question
In the given figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?
Solution
Given, EG = FI
EG + GF = FI + GF ......[Adding GF on both sides]
EF = IG
In ΔDEF and ΔHIG,
DE = IH ......[Given]
EF = IG ......[Proved above]
∠E = ∠I ......[Given]
By SAS congruence criterion, ΔDEF ≅ ΔHIG
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