Complete the two-column proof of Theorem 3.9

Question

Fill in the blank spaces for the reasons

Prove theorem 3.9

Given: m⊥l, n⊥l

Prove: m || n

Statements Reasons

1. m⊥l, n⊥l
2. <1 is a right angle.
3. <2 is a right angle
4. <1 ≅ <2
5. m || n

Answer 1

Statements Reasons

1.  m⊥l, n⊥l given
2. <1 is a right angle. two perpendicular lines form right angles
3. <2 is a right angle same as 2.
4.  <1 ≅ <2 right angles have equal measure
5.  m || n if two lines are cut by a transversal such that corresponding angles are equal then the lines are parallel.