I’m literally desperate can someone help me figure this out

9514 1404 393

Explanation:

(In order avoid issues with the censor, we're going to rename point F as point G in this answer. Wherever you see G, you can use F in your own response to this question.)

General Approach

The perpendicular lines tell you these are right triangles. There are a few ways to show right triangles are congruent, one of which is the "HL theorem." It requires you show the hypotenuse and one leg are congruent in the two triangles.

Here, the hypotenuses, DE and AG, are shown as congruent. All that remains is to show one leg is congruent. We have no information about legs BE and CG, but we do have information that will let us show legs AC and DB are congruent.

Proof

1. DE ≅ AG, DC ≅ AB, GC⊥AC, EB⊥DB . . . . given

2. m∠EBD = 90°, m∠GCA = 90° . . . . definition of perpendicular lines

3. CD + CB = DB . . . . segment sum theorem

4. AB + CB = DB . . . . substitution property of equality (CD→AB)

5. AB +CB = AC . . . . segment sum theorem

6. DB = AC . . . . transitive property of equality

7. ΔACG ≅ ΔDBE . . . . HL theorem

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )