Respuesta :

Step-by-step explanation:

Given,

AC=AD and ang CBA = ang BAD

To prove : Triangle ABC is congruent to Triangle ABD

Proof

Statements Reasons

1. In triangle ABC and 1.

Triangle ABD

i) AC = AD (S) i) Given

ii)ang CAB=ang BAD (A) ii) Given

iii) AB = AB (S) iii)common sides

2. Triangle ABC is

Congurent to triangle

ABD

2. From SAS fact

Step-by-step explanation:

In ∆ABC and ∆ABD

[tex]\sf AC=AD(Given)[/tex]

[tex]\sf \angle ABC=\angle ABD(=90^{\circ})[/tex]

[tex]\sf AB=AB(Common)[/tex]

[tex]\sf \Delta ABC\cong\Delta ABD(SAS\: criteria)[/tex]