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Question
In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?
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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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