Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS
 ΔHGI ≅ ΔSTR     by  S S S congruent
(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T
 ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent