Unit 6: Study Guide (Due 4/18/24) - 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 4/16/24

Use this example to answer the following questions

Required

5

Name the vertex of the angle.

Required

10

Required

15

Required

5

Classify the angle.

Use this example to answer the following questions

Required

5

Name the vertex of the angle.

Required

10

Required

15

Required

5

Required

10

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

Draggable item		Corresponding Item
Two angles that are adjacent and supplementary. They form astraight line!		Vertical angles
Two angles that share a vertex and a common side. They are next to each other		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
Any two angles whose sum is 90°		Adjacent Angles

Required

10

Select all the adjacent angles to ∠1

Required

10

Select all the vertical angles to ∠1

Required

10

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

5

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

8

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

8

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

8

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

8

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

8

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

8

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

6

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

8

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

8

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

8

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__________.

Use the diagram below to answer questions 1 and 2.

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 4/17/24

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.

Required

10

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

Solve for x
_______ 

What is the reason? (Use Notes Page 3 and Notes Page 4 to help you).
_______ 

Required

10

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

Solve for x
_______ 

What is the reason? (Use Notes Page 11 to help you).
_______ 

Required

35

If m∠6 =142°, find each measure. 



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

Required

35

If m∠1 = 65°, find each measure. 



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

Required

10

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

Solve for x
_______ 

What is the reason? (Use Notes Page 11 to help you).
_______ 

Required

10

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

Solve for x
_______ 

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

Required

10

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

Solve for x
_______ 

What is the reason? (Use Notes Page 11 to help you).
_______ 

Required

10

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

Solve for x
_______ 

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

Required

10

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

Solve for x
_______ 

What is the reason? (Use Notes Page 11 to help you).
_______ 

Proving Lines are Parallel

Methods to Prove Lines Parallel

Required

6

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠7≅∠5

Which lines are parallel? (If none are then write none)
line _______ || line _______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

6

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠7≅∠3

Which lines are parallel? (If none are then write none)
line _______ || line _______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

6

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠2+∠9=180

Which lines are parallel? (If none are then write none)
line _______ || line _______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

6

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠5≅∠9

Which lines are parallel? (If none are then write none)
line _______ || line _______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

6

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠14≅∠20

Which lines are parallel? (If none are then write none)
line _______ || line _______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

6

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠3+∠10=180

Which lines are parallel? (If none are then write none)
line _______ || line _______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

10

Find x so that a || b. 
x=_______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

10

Find x so that a || b. 
x=_______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 

Required

10

Find x so that a || b. 
x=_______ 

State the converse used from page 12 in your notes that proves the lines parallel. (If there is no reason, then write not parallel)
_______ 