Unit 6: Study Guide (Due 4/9/25) - James Parson | Library

This is the Unit assessment covering Parallel lines and the Angles formed when they are cut by a Transversal.

You may use your notes, past assignments, and Desmos to complete this assessment.

Complete the entire test and show your work for full credit. Responses without work will receive no points.

Day 1 4/7/25

Use this example to answer the following questions

Required

5

Name the vertex of the angle.

Required

10

Name the sides of the angle.

_______ 

_______ 

Required

15

Give three ways to name the angle.
Use the "∠" in your answer.
_______ 
_______ 
_______ 

Required

5

Classify the angle.

Use this example to answer the following questions

Required

5

Name the vertex of the angle.

Required

10

Name the sides of the angle.
_______ 

_______  

Required

15

Give three ways to name the angle.
Use the "∠" in your answer.
_______

_______

_______ 

Required

5

Classify the angle.

Required

5

Match the definition of the angle relationship with the angle relationships it describes...

Draggable item		Corresponding Item
Two angles that share a vertex and a common side. They are next to each other		Vertical angles
Any two angles whose sum is 90°		Supplementary angles
Two angles across from each other on intersecting lines. They share a vertex and they are always congruent!		Complementary angles
Any two angles whose sum is 180°		Linear pairs
Two angles that are adjacent and supplementary. They form astraight line!		Adjacent Angles

Required

2

Select all the adjacent angles to ∠1

Required

1

Select all the vertical angles to ∠1

Required

2

Select all the supplemental angles to ∠1

Required

10

What is the value of x?_______ 

What kind of angles are these angles an examples of?_______ 

Required

10

What is the value of x?_______ 

What kind of angles are these angles an examples of?_______ 

Required

15

What are the values of x, y, and z?

x°=_______ 
y°=_______ 
z°=_______ 

Required

20

Use the figure below to answer questions. Let m∠DAB= 136.

m∠CAB=_______ 

m∠CAD=_______

Naming Angles

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________ and they are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________ and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Required

4

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________and are__________.

Line Segments

Required

5

If LM = 37 and MN = 22, find LN.

LN=_______ 

Required

5

If LN = 63 and LM = 42, find MN.

MN=_______ 

Required

15

RT = 36.

Find these values.
x=_______ 
RS=_______ 
ST=_______ 

Required

15

DF = 9x – 39.

Find these values.
x=_______ 
EF=_______ 
DF=_______ 

Day 2 4/8/25

Angle formed When Parallel Lines Are Cut By A Transversal

Required

5

Draw an example of alternate interior angles.

Required

5

Draw an example of alternate exterior angles.

Required

5

Draw an example of same-side exterior angles.

Required

5

Draw an example of same-side interior angles.

Required

5

Draw an example of corresponding angles.

Using Parallel LInes to Find the Measures of Angles

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

35

Given the 2 lines are cut by a transversal and are parallel:

If m∠6 =142°, find each measure. 


m∠1=_______ 
m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠7=_______ 
m∠8=_______ 

Required

35

Given the 2 lines are cut by a transversal and are parallel:

If m∠1 = 65°, find each measure. 


m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠6=_______ 
m∠7=_______ 
m∠8=_______ 

Required

55

Given the lines a, b, and c are cut by a transversal and are parallel:

If m∠6 = 73°, find each measure.

m∠1=_______ 
m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠7=_______ 
m∠8=_______  
m∠9= _______ 
m∠10=_______ 
m∠11=_______ 
m∠12=_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:

Solve for x
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:
Solve for x

x=_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:
Solve for x

x=_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

Required

10

Given the 2 lines are cut by a transversal and are parallel:
Solve for x

x=_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 