Which of the following completes the two-column proof below? Given: ∠1≅∠2, n⊥p
Prove: n⊥q
Proof:

1. ∠1≅∠2 (Given)

2. p∥q (?)

3. n⊥p (?)

4. n⊥q (?)

1. ∠1≅∠2 (Given)

2. p∥q (converse of the alternate interior angle theorem)

3. n⊥p (Given)

4. n⊥q (perpendicular transversal theorem)

Step-by-step explanation:

Given

if an information is given in a proof, that information is true. So reason is stated as given

Converse of the alternate interior angle theorem

if two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel

Perpendicular transversal theorem

if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also