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# 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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