Angles and Sides 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

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

Which of the following shows the relationship among the side lengths of the triangle?

• p < l < c

• l < c < p

• c < p < l

• p < c < l

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

Alternate angles are...

• on the same side of the transversal.

• on opposite sides of the transversal.

• not sharing a side with the transversal.

• are not on the same plane as the transversal.

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles