(55 points to correct answer!!!!)
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.