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

1. ab ⊥ bd, ab ⊥ bc, ac = ad
hypotenuse - leg postulate
2. ∠abc and ∠abd are right angles
reflexive property of equality
3. ab = ab
perpendicular lines form right angles
4. △abc ≅ △abd
given