Which congruence criterion do you use in the following?
(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

Solution:

(i) The congruence criterion to show that ∆ ABC ≅ ∆ DEF is Side Side Side (SSS) rule.

(ii) The congruence criterion to show that ∆ PQR ≅ ∆ XYZ is Side Angle Side (SAS) rule.

(iii) The congruence criterion to show that ∆ LMN ≅ ∆ GFH is Angle Side Angle (ASA) rule.

(iv) The congruence criterion to show that ∆ ABE ≅ ∆ CDB is the Right angle Hypotenuse Side (RHS) rule.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 7

Video Solution:

Which congruence criterion do you use in the following? (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

NCERT Solutions for Class 7 Maths Chapter 7 Exercise 7.2 Question 1

Summary:

The congruence criterion used in the following: (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 are (i) SSS, (ii) SAS, (iii) ASA, (iv) RHS

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