The Figure Below Shows Rectangle ABCD

The following is an incomplete paragraph proving that the opposite angles of parallelogram ABCD are congruent:



According to the given information, and . Using a straightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the ____________. By the Transitive Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the _____________. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the Transitive Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.

What theorems accurately complete the proof?

1. Corresponding Angles Theorem

2. Alternate Interior Angles Theorem

1. Alternate Interior Angles Theorem

2. Corresponding Angles Theorem

1. Corresponding Angles Theorem

2. Corresponding Angles Theorem

1. Alternate Interior Angles Theorem

2. Alternate Interior Angles Theorem