Proving Parallel Lines with Angles

Given the following two parallel lines cut by a transversal. Which pair of angles represents alternate exterior angles?

• True

• False

Given the following two parallel lines that have been cut by a transversal. Choose all the options that represent corresponding angles.

Lines r and s are cut by a transversal. What value of x proves r ∥ s?

• 43

• 37

• 143

• 37

What is the reason for statement 1?

• Alternate Exterior Angles Theorem

• Given

• Vertical Angles Theorem

• Same-side Exterior Angles Theorem

Which could be used to prove the lines are parallel?

• Alternate Interior

• Consecutive Interior

• Corresponding

• Cannot be proved parallel

Line l and m are cut by transversal n.  Which statement proves that line l is parallel to line m?

• ∠2 ≅ ∠3

• ∠2 ≅ ∠6 

• m∠7 + m∠8 = 180°

• m∠3 + m∠5 = 90°

If ∠6 is supplementary to ∠7, which of the following can be used to prove lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• None of the above can be used

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