Question

In Figure ,DE = IH, EG = FI and angle E=angle 1. Prove that: ∆DEF ~= ∆ HIG.​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

∆DEF and ∆GIHtttdyugguu