The ratios of corresponding sides in the two triangles are equal. What other information is needed to prove that △FGE ~ △IJH by the SAS similarity theorem? ∠F ≅ ∠J ∠I ≅ ∠F ∠E ≅ ∠H ∠G ≅ ∠I

solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .option C is correct i.e., ∠E ≅∠H.explanation:it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equali.e.,  [tex]\frac{GE}{JH}=\frac{EF}{HI}[/tex]and if ∠E ≅ ∠HThen ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.  so option C is correct i.e.,  ∠E ≅ ∠H.and option B is also correct explanation: since it is given that [tex]\frac{FG}{IJ}=\frac{EF}{HI}[/tex]And if ∠I ≅ ∠F then  ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.