(55 points to correct ) provide reasons for the proof given: line h is parallel to line k. line j is perpendicular to line h prove: line j is perpendicular to line k. word bank: alternate interior angle theorem angle congruence postulate definition of perpendicular lines (used twice) substitution property of equality (used twice) vertical angles theorem statement reason 1. line h is parallel to line k, line j is perpendicular to line h 1. given 2. m∠2=90° 2. 3. ∠3 ≅ ∠2 3. 4. ∠3 ≅ ∠6 4. 5. ∠2 ≅ ∠6 5. 6. m∠2=m∠6 6. 7. m∠6=90° 7. 8. line j is perpendicular to line k. 8.