Geometric Proofs Proving Parallel Lines

When giving reasons for angles to be congruent in a proof, which of the following may apply?

• Vertical angles congruent

• Alt. Interior angles are congruent

• Third angles theorem

• Corresponding Angles are Congruent

• None of these

• vertical angles

• corresponding angles

• Same side interior angles

• Alt. Interior angles

Which could be used to prove the lines are parallel?

• Converse of Alternate Interior Angles Theorem

• Converse of Same-Side Interior Angles Theorem

• Converse of Corresponding Angles Postulate

• Cannot be proved parallel

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

Yes, corresponding angles are congruent

• No

• Yes, corresponding angles are congruent

• Yes, consecutive interior angles are congruent

• Yes, Alternate exterior angles are congruent

• Converse of Corresponding Angles Postulate

• Corresponding Angles Postulate

• Converse of Consecutive Interior Angles Theorem

• Converse of Alternate Interior Angles Theorem

• Consecutive Interior Angles Theorem

• Converse of Consecutive Interior Angles Theorem

• Converse of Alternate Interior Angles Theorem

• Converse of Corresponding Angles Theorem

• Yes, vertical angles are congruent

• No, vertical angles are not enough to prove lines parallel

• Yes, corresponding angles are congruent

• Yes, alternate interior angles are congruent

What value of x would make line m || line n?

• 54

• 126