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