Answer:
Δ ABC ≅ Δ FDE ≅ Δ GIH
Step-by-step explanation:
Between Δ ABC and Δ FDE, given that
(i) AB = DF
(ii) BC = HI and DE = HI, hence, BC = DE
(iii) ∠ B = ∠ D
Hence, by Side-Angle -Side i.e. SAS criteria Δ ABC ≅ Δ FDE
Again, between Δ ABC and Δ GIH, given that
(i) AB = GI
(ii) BC = HI and
(iii) ∠ B = ∠ I.
Hence, by Side-Angle-Side i.e. SAS criteria Δ ABC ≅ Δ GIH.
Therefore, Δ ABC ≅ Δ FDE ≅ Δ GIH (Answer)
