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Unit 6: Study Guide (Due 4/9/25)

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Last updated 10 months ago
48 questions
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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
Question 1
1.

Name the vertex of the angle.

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10
Required
15
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5
Question 4
4.

Classify the angle.

Use this example to answer the following questions




Required
5
Question 5
5.

Name the vertex of the angle.

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10
Required
15
Required
5
Question 9
9.

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

Draggable itemarrow_right_altCorresponding Item
Two angles that are
adjacent and supplementary.
They form astraight line!
arrow_right_alt
Vertical angles
Any two angles whose sum is 90°
arrow_right_alt
Supplementary angles
Two angles that share a vertex and
a common side. They are next to each other
arrow_right_alt
Complementary angles
Any two angles whose sum is 180°
arrow_right_alt
Linear pairs
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
arrow_right_alt
Adjacent Angles
Question 10
10.

Select all the adjacent angles to ∠1

Question 11
11.

Select all the vertical angles to ∠1

Question 12
12.

Select all the supplemental angles to ∠1

Question 13
13.
What is the value of x?_______

What kind of angles are these angles an examples of?_______
Question 14
14.
What is the value of x?_______

What kind of angles are these angles an examples of?_______
Question 15
15.
What are the values of x, y, and z?

x°=_______
y°=_______
z°=_______
Question 16
16.
Use the figure below to answer questions. Let m∠DAB= 136.

m∠CAB=_______


m∠CAD=_______

Naming Angles

Question 17
17.
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__________.
Question 18
18.
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__________.
Question 19
19.
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__________.
Question 20
20.
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__________.
Question 21
21.
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__________.
Question 22
22.
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__________.
Question 23
23.
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__________.
Question 24
24.
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__________.
Question 25
25.
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__________.
Question 26
26.
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
Question 27
27.
If LM = 37 and MN = 22, find LN.

LN=_______
Required
5
Required
15
Question 30
30.
DF = 9x – 39.

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

Day 2 4/8/25

Angle formed When Parallel Lines Are Cut By A Transversal

Question 31
31.

Draw an example of alternate interior angles.

Question 32
32.

Draw an example of alternate exterior angles.

Question 33
33.

Draw an example of same-side exterior angles.

Question 34
34.

Draw an example of same-side interior angles.

Question 35
35.

Draw an example of corresponding angles.

Using Parallel LInes to Find the Measures of Angles

Question 36
36.
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).
_______
Question 37
37.
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).
_______
Question 38
38.
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=_______
Question 39
39.
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=_______
Question 40
40.
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=_______
Question 41
41.
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).
_______
Question 42
42.
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).
_______
Question 43
43.
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).
_______
Question 44
44.
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).
_______
Question 45
45.
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).
_______
Question 46
46.
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).
_______
Question 47
47.
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).
_______
Question 48
48.
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).
_______
Question 2
2.
Name the sides of the angle.

_______

_______
Question 3
3.
Give three ways to name the angle.
Use the "∠" in your answer.
_______
_______
_______
Question 6
6.
Name the sides of the angle.
_______

_______
Question 7
7.
Give three ways to name the angle.
Use the "∠" in your answer.
_______

_______

_______
Question 8
8.

Classify the angle.

Question 28
28.
If LN = 63 and LM = 42, find MN.

MN=_______
Question 29
29.
RT = 36.

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