Question

Which postulate proves that the two triangles are congruent?

ASA
SAS
SSS
AA

Answer 1

SSS congruence rule.

Solution:

Given ΔABC and ΔDEF are congruent.

To prove that on which rule they are congruence.

In triangle ABC,

AB = 2.5 cm, BC = 1.8 cm, CA = 1.8 cm

In triangle DEF,

DE = 2.5 cm, EF = 1.8 cm, FD = 1.8 cm

Consider ΔABC and ΔDEF,

AB = DE (Side)

BC = EF (Side)

CA = FD (Side)

∴ ΔABC ≅ ΔDEF (by SSS congruence rule)

Hence, the given triangles are congruent by SSS congruence rule.