Question

Which of the following condition will you see if ∆ABC is congruent to ∆ DEF and AB = DE , angle B = angle E , angle C = angle F ?

(a) ASA
(b) SSS
(c) SAS
(d) RHS​

Answer 1

In △ABC and △DEF

∠B=∠E (given)

∠C=∠F (Given)

∠A=∠D (third angle)

Thus, △ABC∼△DEF (AAA rule)

Given, AB=3DE Since, AB=DE

The two triangles are similar but not congruent.

Answer 2

Which of the following condition will you see if ∆ABC is congruent to ∆ DEF and AB = DE , angle B = angle E , angle C = angle F ?

(a) ASA

(b) SSS ☑️

(c) SAS

(d) RHS