Converse Interior Angles

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

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

• 14

• 12.5

• 15

• 25

If a // b and c // d in the figure below, then what is the value of x?

• 47

• 57

• 133

• 143

• Consecutive Interior Angles Theorem

• Converse of Consecutive Interior Angles Theorem

• Converse of Alternate Interior Angles Theorem

• Converse of Corresponding Angles Theorem

For numbers 9 – 15, refer to the given figure above. Given: lines x and y are cut by transversal t, and x ∥ y.

m∠1 = 115° , what is m∠6?

• a) 35°

• b.) 65° 

• c.) 75°

• d.) 115°

For numbers 9 – 15, refer to the given figure above. Given: lines x and y are cut by transversal t, and x ∥ y.

m∠1 = 115° , what is m∠6?

• a) 35°

• b.) 65° 

• c.) 75°

• d.) 115°

Alt Int Angle Post

Alt Int Angle Definition

Alt Int Angle Thm

Alt Int Angle Converse

• Alt Int Angle Post

• Alt Int Angle Definition

• Alt Int Angle Thm

• Alt Int Angle Converse

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

Which value of x will show that lines l and m are parallel?

• 20

• 22

• 24

• 25

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse