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]