Question

State what additional information is required in order to know what the triangles are congruent by ASA​

Answer 1

The answer to your question is third choice ∠E ≅ ∠ R

Explanation:

From the picture, we know that EF ≅ FR

And that ∠EFG ≅ ∠RFT (vertical angles)

So, we need to prove that another angle is congruent to prove ASA.

From the choices, the only possibility is the third answer ∠E ≅ ∠ R.

Now, we have proof that ΔEFG ≅ ΔRFT