Proofs for Parallel Lines Cut by Transversal

3) What is the reason for statement 2?

• Given

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

4) What is the reason for Statement 3

• Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180°

• Same-side Interior Angles Theorem

• Vertical Angles Theorem

6) What is the reason for Statement 2?

• Corresponding Angles Postulate

• Vertical Angles Theorem

• Same-side Interior Angles Theorem

• Alternate Exterior Angles Theorem

8) What is the reason for Statement 4 to complete the proof?

• Converse of Corresponding Angles Postulate

• Transitive Property of Congruence

• Substitution

• Algebra

11) What is the reason for Statement 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

12) What is the reason for Statement 3?

• Vertical Angles Theorem

• Transitive Property of Congruence

• Converse of Corresponding Angles Theorem

13) What is the reason for Statement 4?

• Substitution

• Converse of Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Postulate

• Converse of Same-side Interior Angles Theorem

What is the REASON for Statement #4?

• Substitution Property

• Distributive Property

• Transitive Property

• Addition Property

What is the reason?

• Definition of Complementary
• Definition of 180 
• Definition of supplementary
• Angle Addition

Which is a pair of corresponding angles?

• ∠4 and ∠3

• ∠4 and ∠1

• ∠4 and ∠2

• ∠4 and ∠8