(a) Given:AC = DF
AB = DE
BC = EF
So, ∆ABC ≅ ∆DEF



(b) Given: ZX = RP
RQ = ZY
∠PRQ = ∠XZY
So, ∆PQR ≅ ∆XYZ


(c) Given: ∠MLN = ∠FGH
∠NML = ∠GFH
ML = FG
So, ∆LMN ≅ ∆GFH


(d) Given: EB = DB
AE = BC
∠A = ∠C = 90°
So, ∆ABE ≅ ∆CDB

Explanation

(i) `∆ ABC ≅ ∆ DEF` congruence criterion use in Side Side Side (SSS) rule.

(ii) `∆ PQR≅∆XYZ`congruence criterion use in this is Side Angle Side (SAS) rule.

(iii) `∆ LMN ≅ ∆ GFH `congruence criterion use in this is Angle Side Angle (ASA) rule.

(iv)`∆ ABE ≅ ∆ CDB `congruence criterion use in this is Right angle Hypotenuse Side (RHS) rule.