##### Which congruence criterion do you use in the following?(a) Given: AC=DFAB=DFBC=EF∆ABC ∆DEF(b) Given: ZX=RRQ=ZY∠PQR = ∠XYZ∆PQR ∆XYZ(c) ∠MLN = ∠FGH∠NML = ∠GFHML=FG∆LMN ∆GFH(d) Given: EB=DBAE=BC∠A = ∠C=90o∆ABC ∆CDB

(a) In the above given question, we have given that:

AB = DE

Also, BC = EF

And, AC = DF

Therefore, both the triangles are equal by SSS congruence criterion

As, the sides of both the triangles are equal.

(b) In the above given question, we have given that:

ZX = RP

Also,

RQ = ZY

And,

PQR = XYZ

Therefore, both the triangles are equal by SAS congruence criterion

As,

Two sides of both the triangles are equal. Also, PQR and XYZ are equal.

(c) In the above given question, we have given that:

MLN = FGH

Also,

NML = GFH

And,

ML = FG

Therefore, both the triangles are equal by SAS congruence criterion

As, two angles and the side included between these angles of LMN are equal to two angles and the side included between these angles of GFH.

(d) In the above given question, we have given that:

EB = DB

Also,

AE = BC

And,

A = C = 90o

Therefore, both the triangles are equal by RHS congruence criterion

As, two right triangles, one side and hypotenuse of the above given triangles are equal

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