Question

Which congruence criterion do you use in the following?
(a) Given:
AC = DF
AB = DE
BC = EF
So, ΔABC ≅ ΔDEF​

Answer 1

Answer:

Since all sides of ΔABC are equal to all corresponding sides of ΔDEF

So, we will use SSS congruence criterion to prove ΔABC≅ΔDEF

Answer 2

(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.