Converse of Angle Relationships

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 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

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

• 47

• 57

• 133

• 143

In the diagram, a ∥ b. Match the following:

• 100

• 80

• 32

• 148

• 100

• 130

• angle 8

• 130

• angle 3

• 50

• angle 7

• 130

• angle 2

• 50

• angle 4

• No

• Yes, Corresponding angles are congruent

• Yes, Alternate Interior angles are congruent

• Yes, Alternate Exterior angles are congruent

What is the value of x?

• 60

• 26

• 14

• 10

Which reason explains why the two lines are parallel?

• Corresponding Angles Converse

• Alt. Interior Angles Converse

• Alt. Exterior Angles Converse

• Not Enough Information to Prove Parallel

• Vertical Angles Theorem

• 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