Match the reasons with the statements in the proof to prove that triangle ABC is congruent to triangle ABD, given that AB ⊥ BD , AB ⊥ BC , and AC = AD .

Given:

AB ⊥ BD

AB ⊥ BC

AC = AD

Prove: △ ABC ≅ △ ABD

∠ABC and ∠ABD are right angles
AB ⊥ BD , AB ⊥ BC , AC = AD
AB = AB
△ ABC ≅ △ ABD
match the reasons with the statements
1 .
Given
2 .
Perpendicular Lines Form Right Angles
3 .
Reflexive Property of Equality
4 .
Hypotenuse - Leg Postulate