angelperce
angelperce angelperce
  • 31-01-2020
  • Mathematics
contestada

Which postulate proves that the two triangles are congruent?

ASA
SAS
SSS
AA

Which postulate proves that the two triangles are congruent ASA SAS SSS AA class=

Respuesta :

shilpa85475 shilpa85475
  • 08-02-2020

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.

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