Parallel Lines and Transversal Proofs

If two lines are cut by a transversal, how might you show that the two lines are parallel?

• Show that the corresponding angles are congruent

• Show that the vertical angles are congruent

• Show that the alternate interior angles are congruent

• Show that the corresponding angles are supplementary

1) Which statement restates the Given from the question?

• 
• 
• 

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 relationship of ∠3 and ∠7?

• Corresponding Angles

• Alternate Interior Angles

• Alternate Exterior Angles

• Consecutive Interior Angles

• Vertical Angles

Angles 1 and 5 prove lines parallel... true or false?

• true

• false

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• none of the above

Line v is a transversal.  Which is a true statement?

• w // x and x // y

• w // x and y // z

• w // y and x // z

• w // z and x // y

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

When two parallel lines are cut by a transversal, all pairs of angles created are either _________ or _________.

• Congruent, supplementary

• Congruent, complementary

• Supplementary, complementary

• Corresponding, vertical

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem