Leg-leg theoremmatch 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.∠3 and ∠4 are right angles, ax = bx
2.cx = cx
3.△axc ≅ △bxc

given
reflexive property of equality
leg-leg theorem

1.)  AB ⊥ BD, AB ⊥ BC, AC = AD       ---       d.)  Given

2.) ∠ABC and ∠ABD are right angles     ---     c.)  Perpendicular Lines Form Right Angles

3.) AB = AB   ---      a.)  Reflexive Property of Equality

4.) △ABC ≅ △ABD       ---         b.)  Hypotenuse - Leg Postulate

Step-by-step explanation:

1.)  AB ⊥ BD, AB ⊥ BC, AC = AD

2.) ∠ABC and ∠ABD are right angles

3.) AB = AB

4.)  △ABC ≅ △ABD

a.) Reflexive Property of Equality

b.) Hypotenuse - Leg Postulate

c.) Perpendicular Lines Form Right Angles

d.) Given

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