Alternate Interior Angle Theorem

• Alternate Interior Angles

• Supplementary

• Same-side Interior Angles

• Corresponding Angles

• Vertical 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

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

• 47

• 57

• 133

• 143

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

What is the name of the relationship between these two angles?

• Same Side Interior Angles

• Corresponding Angles

• Alternate Interior Angles

• Same Side Exterior Angles

• f = 49^o
• f = 131^o

Given the following two parallel lines that have been cut by a transversal. \angle1 and which angle make up Alternate Interior angles?

Given the following two parallel lines that have been cut by a transversal. \angle1 and which angle make up Alternate Interior angles?

• \angle2
  

• \angle6
  

• \angle5 

• \angle3 

• 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