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

The answer is B

Step-by-step explanation:

∠I ≅ ∠F

Answer 2

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.

Step-by-step explanation:

it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal

i.e.,

`(GE)/(JH)=(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

`(FG)/(IJ)=(EF)/(HI)`

And if ∠I ≅ ∠F

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