Parallel Lines and Angle Relationships

Name the Angle Pair

100

Name the Angle Pair: 1 and 5

Corresponding Angles

200

Name the Angle Pair: 4 and 5

Alternate Interior Angles

300

Name the Angle Pair: 2 and 7

Alternate Exterior Angles

400

Name the Angle Pair:1 and 7

Consecutive (Same Side) Interior Angles

500

Name the Angle Pair: 4 and 7

No Relationship

Are They Parallel?

100

Angle 1 = 60 degrees

Angle 5 = 60 degrees

Yes. If corresponding angles are congruent, then lines are parallel.

200

Angle 3 = 74

Angle 5 = 106

Yes. If consecutive Interior angles are supplementary, then lines are parallel.

300

Angle 8 = 67

Angle 5 = 67

Not enough information

400

Angle 2 = 57

Angle 7 = 123

No. If alternate exterior angles are not congruent, then lines are not parallel.

500

Angle 2 = 134

Angle 8 = 44

No. If consecutive exterior angles are not supplementary, then lines are not parallel.

Find The Measure

100

If lines are parallel and the measure of angle 1 is 75 degrees, what is the measure of angle 5?

75 degrees

200

If lines are parallel and the measure of angle 1 is 68 degrees, what is the measure of angle 6?

112 degrees

300

If lines are parallel and the measure of angle 2 is 44 degrees, what is the measure of angle 7?

44 degrees

400

True or False? Lines are parallel if the measure of angle 1 equals 94 degrees and the measure of angle 7 equals 96 degrees.

False

500

True or False? If vertical angles are congruent, then lines are parallel.

False

Solve for the missing variable

100

Lines are parallel. The measure of angle 2 is 2x+7 and the measure of angle 6 is 6x-5. 

x = 3

200

Lines are parallel. The measure of angle 2 is 115 degrees and the measure of angle 6 is x+5.

x = 110

300

Lines are parallel. The measure of angle 8 is x, the measure of angle 1 is y+79, and the measure of angle 5 is 11y + 19.

x = 6

y = 85

400

Lines are parallel. The measure of angle 2 is 11x+33 and the measure of angle 5 is 6x-6.

x = 9

500

Lines are parallel. The measure of angle 4 is 42 degrees, the measure of angle 5 is 8x+2, and the measure of angle 6 is 6(2y-3).

x = 5, y=13

Vocab

100

These angles are formed from two intersecting lines. They are opposite each other and are congruent.

Vertical Angles

200

This pair of angles are always adjacent and supplementary.

Linear Pair

300

These lines intersect at a right angle and have opposite reciprocal slopes.

Perpendicular lines

400

These lines never intersect and have the same slopes.

Parallel lines

500

This angle relationship is when two angles share a vertex and a side.

Adjacent angles