Question

Which congruence criterion do you use in the following ?

(a) Given : AC = D

(b) Given : ZX = RP

(c) Given: ∠MLN = ∠FGH

(d) Given : EB = DB

Answer 1

(a) Given : AC = D
AB = DE
BC = EF

So, ∆ ABC = ∆ DEF

SSS congruence criterion

(b) Given : ZX = RP

RQ = ZY

∠PRQ = ∠XZY

So, ∆ PQR ≅ ∆ XYZ

SAS congruence criterion

(c) Given: ∠MLN = ∠FGH

∠NML = ∠GFH

ML = FG

So, ∆LMN ≅ ∆GFH

ASA congruence criterion.

(d) Given : EB = DB

AE = BC

∠A = ∠C = 90°

So, ∆ ABC ≅ ∆ CDB

RHS congruence criterion