Question

PLZZ HELP AND PLZZ HURRY

What other information is needed to prove that △FGE ~ △IJH by the SAS similarity theorem?

A. ∠F ≅ ∠J
B. ∠I ≅ ∠F
C. ∠E ≅ ∠H
D. ∠G ≅ ∠I

Answer 1

I think the answer is B. ∠I ≅ ∠F.

Explanation:

Answer 2

Answer: The correct answer is Choice B.

In the diagram, we can see that we have two pairs of sides that are proportional.

10/15 = 20/30

One of the ways to prove triangles similar is with the SAS similarity theorem. Therefore, all we are missing is the included angle. Knowing that angle I is congruent to angle F would be enough to prove the triangles are similar.