Q. 1515.0( 2 Votes )

In Fig. 6.52, DE = IH, EG = FI and E = I. Is ∆DEF ∆HIG? If yes, by which congruence criterion?


Answer :

Given: DE = IH, EG = FI and E = I


Formula Used/Theory:-


when 2 sides and angle between both the sides are equal in both the triangles then triangles are congruent by SAS congruence criterion


In Δ DEF and Δ GIH


DE = HI (Given)


EG = FI


If we add length of GF both sides


EG + GF = FI + GF


EF = IG


E = I


∆DEF ∆HIG


Hence; Both triangles are congruent by SAS criterion


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