Determine If Two Lines Are Parallel From Angle Pair Relationships

Given the map below, which two streets must be parallel?

• Ave. A and Ave. B

• Ave. D and Ave. E

• Ave. C and Ave. E

• Ave. C and Ave. D

In order to better investigate some of the relationships in the figure showing 2 pairs of parallel lines, Carla traced the drawing on patty paper so she could better compare the angle measures. Which of the following conjectures Carla made about the figure would be incorrect?

• All vertical angles are congruent.

• All alternate exterior and alternate interior angles are congruent.

• All linear pairs are complementary.

• All corresponding angles are congruent.

If angle 1 is congruent to angle 2, which lines must be parallel?

• line EB, line CF

• line AE, line BF

• line AD, line EB

• line CF, line AD

Find the value of x so that MN is parallel to PQ.

• 37

• 35

• 19

• 11

Corresponding angles are angles in ​ (a)   , and they are only ​ (b)   if the two lines are parallel​ .

Angles 3 and 7 are corresponding angles, and so are angles 2 and ​ (c)   , and angles 1 and ​ (d)   .

• matching corners

• congruent

• 6

• 5

• 4

• 8

Alternative Interior angles are ​ (a)   the lines, l and m, and on the ​ (b)   of the transversal, and they are only ​ (c)   if the lines are ​ parallel .

Angles 3 and ​ (d)   are a pair of Alternate Interior Angle, and another pair is angles ​4 and ​ (e)   .

• inside

• opposite side

• congruent

• 6

• 5

• 1

• 7

• outside

• same side

• supplementary

Same-Side Interior angles are ​ (a)   the lines, l and m, and on the ​ (b)   of the transversal, and they are only ​ (c)   if the lines are ​ parallel .

Angles ​ (d)   and 5 are a pair of Same-side Interior Angle, and another pair is angles ​4 and​ ​ (e)   .

• inside

• same side

• supplementary

• 3

• 6

• 1

• 7

• outside

• congruent

Choose all corresponding angle pairs.

Choose all Alternate Interior angle pairs.

Choose all Same-side Interior angle pairs.