Q.1 Which congruence criterion do you use in the following?
(a) Given:
AC = DF
AB = DE
BC = EF
So, \(\triangle ABC \cong \triangle DEF \)


(b) Given:
ZX = RP
RQ = ZY
\(\angle PRQ = \angle XZY \)
So, \(\triangle PQR \cong \triangle XYZ \)


(c) Given: \(\angle MLN = \angle FGH \)
\(\angle NML = \angle GFH \)
ML = FG
So, \(\triangle LMN \cong \triangle GFH \)

(d) Given: EB = DB
AE = BC
\(\angle A = \angle C = 90° \)
So, \(\triangle ABE \cong \triangle CDB \)


Answer :

(a) \(\triangle ABC \cong \triangle DEF \) (BY SSS rule)
(b) \(\triangle PQR \cong \triangle XYZ \) (BY SAS rule)
(c) \(\triangle LMN \cong \triangle GFH \) (BY ASA rule)
(d) \(\triangle ABE \cong \triangle CDB \) (BY RHS rule)

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