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 equal

i.e.,  

and if ∠E ≅ ∠H

Then 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

And if ∠I ≅ ∠F

then  ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.  

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.