Respuesta :

Answer:

The answer is first option i.e

[tex]\triangle ABC \cong \triangle GHJ\ \textrm{angle - side - angle test i.e ASA}\\[/tex]

Step-by-step explanation:

Given:

1. angle ABC = angle GHJ

2. BC = HJ

3. angle BCA = angle HJG

Proof:

In ΔABC and ΔGHJ

[tex]\angle ABC \cong \angle GHJ \ Given\\BC \cong HJ\ \textrm{Given}\\\angle BCA \cong \angle HJG \ \textrm{Given}\\\\\triangle ABC \cong \triangle GHJ\ \textrm{angle - side - angle test i.e ASA}\\[/tex]

Hence proved