Prove Angle Relations

What are the reasons for statements 4 and 5?

• Reason 4: Alternate Interior angles theorem

  Reason 5: Definition of congruence

• Reason 4: Vertical angles theorem

  Reason 5: Definition of congruence

• Reason 4: Definition of congruence

  Reason 5: Definition of supplementary angles

• Reason 4: Vertical angles theorem

  Reason 5: Substitution

What is the reason for statement 1?

• Alternate Exterior Angles Theorem

• Given

• Vertical Angles Theorem

• Same-side Exterior Angles Theorem

Name the angle relationship.

• Consecutive Interior

• Alternate Interior

• Corresponding

• Vertical Angles

What is the Angle Relationship

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same Side-Interior

Fill in the blanks

• Alternate Interior Angles

• Alternate Exterior Angles

• Same-side Interior Angles

• Corresponding Angles

• None of these

If ∠5 ≌∠7, which of the following can be concluded?

• r is parallel to s by converse of Alternate Interior Angles Thm.

• u is parallel to v by Converse of Corresponding Angles Thm

• s is ⊥ u by Converse of Alternate Interior Angles Thm

• v ⊥ r by Converse of Alternate Exterior Angles Thm

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠5 and ∠6

• ∠4 and ∠10

• ∠6 and ∠14