Which relationships within the diagram are true? Check all that apply. △ACF ≅ △AEB because of ASA. △ACF ≅ △AEB because of SAS. △ACF ≅ △AEB because of AAS. ∠CFA ≅ ∠EBA FC ≅ BE FC ≅ AC

a, d, e

The correct answer is (A) △ACF ≅ △AEB because of ASA. (D) ∠CFA ≅ ∠EBA (E) FC ≅ BE

Step-by-step explanation:

∠CAF ≅ ∠EAB, Given that the angle AC ≅ AE; ∠ACD ≅ ∠AED, because is the same angle in Vertex A

Then we say, △ACF ≅ △AEB because of ASA has a coherent side (AC ≅ AE) and the two adjoining angles to this side are also coherent (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then we say option (A) is true: △ACF ≅ △AEB because of angle side angle.

If the two triangles are coherent, then the FC ≅ BE; and ∠CFA ≅ ∠EBA, by CPCTC, then Options D and E are correct