Parallel Lines Cut by a Transversal

​Parallel Lines Cut by a Transversal

By Andrea Morganti

​Types of Angles

Yesterday we went over the different types of angles that are formed when two parallel lines are crossed by a transversal.
You can use your notes from yesterday (available on Buzz) to help you along with this activity if you would like.

Match

First, let's review some key words/ vocab needed to be able to identify angle pairs that are formed when parallel lines are crossed by a transversal.

• line a || line b

• A line that crosses two lines.

• The area in between the two parallel lines

• The area above and/or below the parallel lines

• The area to the left or right of the transversal

Parallel Lines

Transversal

Interior

Exterior

Same side

• Parallel Lines

• Transversal

• Interior

• Exterior

• Same side

Multiple Choice

​ ​ ​ What is highlighted in the picture?

• Parallel Lines

• Transversal

• Interior

• Exterior

Multiple Choice

What is highlighted in the picture?

• Parallel Lines

• Transversal

• Interior

• Exterior

Multiple Choice

What area of the parallel lines is highlighted?

• Interior

• Exterior

• Same Side

• Alternate

Multiple Choice

What area is highlighted in the picture?

• Interior

• Exterior

• Same Side

• Alternate

Multiple Choice

Where on the transversal are these two highlighted angles?

• Same Side

• Alternate

Multiple Choice

On what side are these highlighted angles on the transversal?

• Same Side

• Alternate

​Angle Pairs

Angle pairs that we already know before looking at the special angle pairs formed with parallel lines crossed (cut) by a transversal are:

Vertical Angles: A pair of angles formed with two lines cross (these are equal)
Linear Pair: A pair of angles that form a straight angle (these are supplementary)

Multiple Select

The highlighted angles are ______________. (2 answers)

• Supplementary

• Linear Pair

• Vertical Angles

• Equal

Multiple Select

The highlighted angles in the picture are _____________. (2 answers)

• Linear Pair

• Supplementary Angles

• Vertical Angles

• Equal

Angles formed by Parallel Lines Crossed by a Transversal

Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles
Same Side Exterior Angles

In addition to vertical angles and linear pairs

Multiple Choice

What angle corresponds to  $$\angle7$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

Multiple Choice

What angle corresponds to  $$\angle6$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle7$$  

Multiple Choice

What angle corresponds to  $$\angle1$$  ?

• $$\angle4$$  

• $$\angle5$$  

• $$\angle8$$  

• $$\angle2$$  

Multiple Choice

What angle corresponds to $$\angle1$$ ?

• $$\angle4$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

What angle corresponds to $$\angle4$$ ?

• $$\angle4$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

What angle corresponds to $$\angle5$$ ?

• $$\angle7$$

• $$\angle5$$

• $$\angle3$$

• $$\angle2$$

Multiple Choice

Name the alternate interior angle to angle 3.

• 4

• 5

• 6

• 8

Multiple Choice

Name a pair of alternate interior angles.

• angle 3 & angle 4

• angle 5 & angle 6

• angle 3 & angle 6

• angle 3 & angle 5

Multiple Choice

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

• $$\angle4$$  and $$\angle8$$  
  

• $$\angle7$$  and $$\angle5$$  
  

• $$\angle1$$  and  $$\angle2$$  
  

• $$\angle6$$  and  $$\angle5$$  
  

Multiple Choice

Given the following two parallel lines that have been cut by a transversal.

Which two angles would be Alternate Exterior?

• 
  

  $$\angle8$$ and $$\angle2$$
  

• $$\angle7$$ and $$\angle3$$

• $$\angle5$$ and $$\angle6$$

• $$\angle5$$ and $$\angle1$$

Multiple Choice

Same Side Interior Angles: Angles that are inside parallel lines on the same side of the transversal; they are supplementary

• True

• False

Multiple Choice

Name a pair of same side exterior angles (consecutive exterior angles).

• angle 1 & angle 2

• angle 2 & angle 7

• angle 1 & angle 7

• angle 2 & angle 8

Match

Match the following:

Same-side Interior Angles

Alternate Exterior Angles

Alternate Interior Angles

Corresponding Angles

• Same-side Interior Angles

• Alternate Exterior Angles

• Alternate Interior Angles

• Corresponding Angles

Measures of the Angles

Corresponding Angles are EQUAL
Alternate Interior Angles are EQUAL
Alternate Exterior Angles are EQUAL

Same Side Interior Angles are SUPPLEMENTARY
Same Side Exterior Angles are SUPPLEMENTARY

Multiple Choice

State the angle relationship and find the measure of angle 2

• Alternate Exterior
  127
• Alternate Exterior
  52
• Alternate Interior
  127
• Alternate Interior
  52

Multiple Choice

If angle 1 is 135 degrees, how many degrees is angle 3?

• 45 degrees
• 65 degrees
• 135 degrees
• 225 degrees

Multiple Choice

Find m ∠C.

• ∠C=116°
• ∠C=64°
• ∠C=180°
• ∠C=26°

Multiple Choice

If angle 6 is 25 degrees, how many degrees is angle 7?

• 25 degrees
• 50 degrees
• 90 degrees
• 155 degrees

Multiple Choice

Name all angles that measure 107 degrees.

• a, d, g

• a, e, g

• b, d, f

• c, d, g

Multiple Choice

If the measure of angle 4 is 76 degrees, what is the measure of angle y?

• 76 degrees

• 14 degrees

• 114 degrees

• 104 degrees

Multiple Choice

If the measure of angle 2 is 81 degrees, what is the measure of angle z?

• 81 degrees

• 9 degrees

• 99 degrees

• 101 degrees

Multiple Choice

State the angle relationship and find the measure of angle 1

• Alternate Interior
  49
• Same Side Interior
  131
• Same Side Interior
  49
• Alternate Interior
  131