Angles and Parallel Lines Relationships

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Given the following two parallel lines that have been cut by a transversal. Which two angles would be Alternate Exterior?

Alternate interior angles are on the ________ of the parallel lines but on opposite sides of the transversal.

• Outside

• Inside

• Opposite

• Vertex

Which pair of angles must be supplementary so that r is parallel to s?

• ∠2 and ∠3

• ∠5 and ∠6

• ∠4 and ∠10

• ∠6 and ∠14

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

• 14

• 12.5

• 15

• 25

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

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

Alternate exterior angles are outside of the parallel lines and on opposite sides of the ...

• angle

• measurement

• transversal

• vertex