Parallel Lines Cut by a Transversal Converse

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

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

What value of x proves that line p is parallel to line r?

• 14

• 12.5

• 15

• 25

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

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

Which of the following relationship proves that j is parallel to k?

• ∠3 and ∠4 are supplementary

• ∠4 and ∠5 are supplementary

• ∠1 ≅ ∠3

• ∠2 ≅ ∠3

Find the value of x. 

• x = 133

• x = 47

Solve for y.

• y = 20

• y = 120

• y = 60

• y = 10

Find y.

• 50

• 130

If lines are parallel with a transversal, then these two angles are...

• Supplementary Angles

• Corresponding Angles

• Alternate Exterior Angles

• Parallel Angles