Parallel Lines and Transversals

Parallel Lines and Transversals

by Scott Jennings

​Parallel lines

​lines that lie in the same plane and do not intersect

​Transversal

​a line that intersects 2 or more lines

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​Line a intersects both lines l and m, therefore it is the transversal

​If 2 parallel Lines are cut by a transversal, then...

• ​alternate interior angles are congruent

• ​alternate exterior angles are congruent

• ​corresponding angles are congruent

• ​same-side (consecutive) interior angles are supplementary

​If 2 parallel Lines are cut by a transversal, then...

• ​alternate interior angles are congruent

​If 2 parallel Lines are cut by a transversal, then...

• ​alternate exterior angles are congruent

​If 2 parallel Lines are cut by a transversal, then...

• ​corresponding angles are congruent

​If 2 parallel Lines are cut by a transversal, then...

• ​same-side (consecutive) interior angles are supplementary

Multiple Choice

What type of angle pair is ∠1 and ∠5?

• alternate interior angles
• corresponding angles
• alternate exterior angles
• vertical angels. 

Multiple Choice

What type of angle pair is ∠1 and ∠3?

• alternate interior angles

• linear pair

• corresponding angles

• vertical angles

Multiple Choice

In the diagram, which of the following statements are false?

• ∠1 and ∠4 are vertical angles
• ∠4 and ∠5 are alternate interior angles
• ∠1 and ∠8 are alternate interior angles
• ∠2 and ∠6 are corresponding angles

Multiple Choice

Name the corresponding angle to angle 4.

• angle 8
• angle 6
• angle 2
• angle 5

Multiple Choice

Name the alternate interior angle to angle 3.

• 4
• 5
• 6
• 8

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

A line that passes through 2 or more lines is called a ______________.

• transitive
• passer through line
• transversal
• bisector

Multiple Choice

• a = 140

• b = 140

• c = 140

• d = 140

Multiple Choice

Angle 1 = 27^o
Find the measure of angle 4

• 27^o
• 153^o
• 63^o
• 90^o

Multiple Choice

What is the value of y?

• 29
• 119
• 58

Multiple Choice

Solve for  y.

• y = 20
• y = 120
• y = 60
• y = 10