Question

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

Answer 1

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.,  

$\frac{GE}{JH}=\frac{EF}{HI}$

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

$\frac{FG}{IJ}=\frac{EF}{HI}$

And if ∠I ≅ ∠F

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

Answer 2

Answer:

The answer is B

Step-by-step explanation:

∠I ≅ ∠F