Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?
C
alternate interior angles theoremD
converse alternate interior angles theoremStep 2 states that angle 2 is congruent to angle 3, and step 3 states that angle 1 is congruent to angle 3. Since both angles are congruent to the same angle, angle 1 is congruent to angle 2 by the transitive property of congruence.
AI-written and checked against the verified answer.