Answer: ΔHGF≅ ΔABC
Step-by-step explanation:
- ASA congruence postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of next triangle then the triangles are congruent.
In the given figure ΔABC and ΔHGF have the pair of two corresponding angles and the included sides are congruent.
i.e.[tex]\angle{C}\cong\angle{F}[/tex]
[tex]\overline{GF}\cong\overline{BC}[/tex]
tex]\angle{G}\cong\angle{B}[/tex]
Therefore , by ASA congruence postulate:-
ΔABC ≅ ΔHGF
In ΔTUV , there is only angle given . So there is no enough information to prove it by ASA.
