Question

Given:AC is perpendicular to CB, angle DAB is congruent to Andre CAB.Prove triangle ABC is congruent to triangle ABD

Answer 1

we have that

1) AC ⊥ CB and AD ⊥ DB -------> Given

2) Given

3) by definition of right angle

4) AB=AB ----------> by reflexive property

5) by complementary angles in a right triangle

6) by complementary angles in a right triangle

7) by substitution

8) ΔABC≅ ΔABD -------> by ASA congruence theorem