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IM 1 Semester 2 Review: Final Study Guide (Due 6/9/25)

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Last updated about 2 hours ago
81 questions
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60
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20
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65

Day 1 6/3/23

Main Idea: Transformation

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9
Question 1
1.
What are the three types of rigid motion?

"Spin"_______
"Slide"_______
"Flip"_______
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16
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5
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5
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2
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5
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15
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20

Main Idea: Translations with Vectors

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5
Question 9
9.

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

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5
Question 10
10.

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20
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2
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2
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Rotations



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15
Question 20
20.
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Day 2 6/4/25

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5
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10
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4
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2
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6
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20
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15

Main Idea: Segment Addition

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5
Question 34
34.
If LM = 22 and MN = 15, find LN.

LN=_______
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5
Question 35
35.
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15

Main Idea: Midpoint of a Segment

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20
Question 37
37.
T is the midpoint of SU.

Find these values.
x=_______
ST=_______
UT=_______
SU=_______

Main Idea: Angles Formed by Parallel Lines

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6
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6
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6
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6
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6
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6
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35
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3
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3
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10
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10
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10
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10
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10

Day 3 6/5/25

Classifying Triangles

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5
Question 55
55.
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5
Question 56
56.
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5
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5
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5

Triangles

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10
Question 60
60.

Find the missing measure.

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10
10
10
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15
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5
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5
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5
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5
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5
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5
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30
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30
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30
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20

Main Idea: CPCTC

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20
Question 76
76.
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20
Question 77
77.
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20

Day 5 6/6/25

Main Idea: Stats

Question 79
79.
Find the mean, median (Q₂), range, lower quartile (Q), upper quartile (Q), and interquartile range (IQR) for all player's ages on the LA Lakers roster.
(Round your answers to nearest tenths place.)

Lower Quartile= _______
Median=_______
Upper Quartile=_______
Interquartile Range= _______

mean= _______
mode= _______


Minimum=_______
Maximum=_______
Range=_______

Fill in the blanks based on the measures of center you calculated above.

75% of the Laker's roster is younger _______ than years old.
_______ % of the Laker's roster is older than 27 years old.
Question 80
80.

Use the data from the last question to make a box and whisker plot.

Question 81
81.
Find the mean, median (Q₂), range, lower quartile (Q), upper quartile (Q), and interquartile range (IQR) for all player's weights on the LA Lakers roster.
(Round your answers to nearest tenths place.)

Lower Quartile=_______
Median=_______
Upper Quartile=_______
Interquartile Range=_______

mean=_______
mode=_______ _______ and _______

Minimum=_______
Maximum=_______
Range=_______


Fill in the blanks based on the measures of center you calculated above.

50% of the Lakers roster weighs more than_______ pounds.
_______ % of the Lakers roster weight less than 211 pounds.

Main Idea: Translations

Question 2
2.

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Question 3
3.

What does the following rule describe? (x, y) → (x-2, y+5)

Use your own words to describe the rule.

Question 4
4.
Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) → _______
Question 5
5.


Which of the following shows the rule in coordinate notation for the translation above?

Question 6
6.


Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)

(x,y) →

Question 7
7.
△ABC has coordinates of A(0,4), B(-3,4), and C(-3, -1). What are the new coordinates of △ABC when the figure is moved 3 units left and 1 unit up?
A'_______
B'_______
C'_______
Question 8
8.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

C'_______
D'_______
E'_______
Protip: Transform the points first then graph them.


Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Question 11
11.
Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

W'_______
X'_______
Y'_______
Z'_______
Protip: Transform the points first then graph them.


Main Idea: Reflections

Question 12
12.

Which graph show the x-axis as the line of reflection?

Question 13
13.

Which graph show the y-axis as the line of reflection?

Question 14
14.

Which graph show the y=x as the line of reflection?

Question 15
15.

Which graph shows the line, y= - x as the line of reflection?

Question 16
16.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.

W'_______
X'_______
Y'_______
Z'_______
Question 17
17.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

B'_______
C'_______
D'_______
E'_______
Question 18
18.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.

F'_______
G'_______
H'_______
Question 19
19.
Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

M'_______
N'_______
O'_______
P'_______
Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise-- (x, y) →_______

180⁰ rotation-- (x, y) →_______

270⁰ rotation counter clockwise-- (x, y) →_______
Question 21
21.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

S'_______
T'_______
U'_______
V'_______
Question 22
22.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

A'_______
B'_______
C'_______
D'_______
Question 23
23.
Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

F'_______
G'_______
H'_______

Main Idea: Angle Basics

Question 24
24.

What type of angle is formed by a straight line?

Question 25
25.

What is an angle between 90 and 180 degrees called?

Question 26
26.

What type of angle measures between 0 and 90 degrees?

Question 27
27.

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

Draggable itemarrow_right_altCorresponding Item
Two angles that share a vertex and
a common side. They are next to each other
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Vertical angles
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Question 28
28.

Name two angles that are vertical.

Question 29
29.

Name two angles that are supplementary.

Question 30
30.

Name all angles that are obtuse.

Question 31
31.

Name all angles that are acute.

Question 32
32.
Use the figure below to answer questions. Let m∠DAB= 136.

m∠CAB=_______


m∠CAD=_______

Be sure to use the degree symbol in your answer. °
Question 33
33.
What is the values of x, y, and z?

x=_______
y=_______
z=_______
If LN = 54 and LM = 31, find MN.

MN=_______
Question 36
36.
DF = 9x – 39.

Find these values.
x=_______
EF=_______
DF=_______
Question 38
38.
Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 39
39.
Name the angle relationship between the two indicated angles in the diagram:


These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 40
40.
Name the angle relationship between the two indicated angles in the diagram:


These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 41
41.
Name the angle relationship between the two indicated angles in the diagram:


These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 42
42.
Name the angle relationship between the two indicated angles in the diagram:



These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.
Question 43
43.
Name the angle relationship between the two indicated angles in the diagram:

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

Main Idea: Using Parallel Lines





Question 44
44.
If m∠6 =142°, find each measure.

m∠1=_______
m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠7=_______
m∠8=_______
Question 45
45.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠4=45° because __________
Question 46
46.
Tell why each of the angles indicated are congruent to the angle measure shown.


∠7=45° because __________
Question 47
47.
Tell why each of the angles indicated are congruent to the angle measure shown.



∠1=130° because __________
Question 48
48.
Tell why each of the angles indicated are congruent to the angle measure shown.



∠4=130° because __________
Question 49
49.
Find the value of x.

x=_______

Then, find the measure of each labeled angle.

(3x + 4)° = _______ °



(5x – 8)° = _______ °
Question 50
50.
Find the value of x.
x=_______

Then, find the measure of each labeled angle.
(6x+20)° = _______ °
(8x)° = _______ °
Question 51
51.
Given a || b. Find the missing values.

x=_______

Why are these angles congruent?
_______
Question 52
52.
If a || b, find x.
x=_______

Why are these angles congruent?_______
Question 53
53.
If l || m, find x.
x=_______


Why are these angles congruent?_______
Question 54
54.
If l || m, find x.
x=_______
Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle

Sides:
This is a _______ triangle

Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______




Question 57
57.
Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle
Sides:
This is a _______ triangle



Question 58
58.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______


Question 59
59.
Classify this triangle by its angles and sides.
By its angles:
_______
By its sides:
_______

Question 61
61.

Find the value of x.

Question 62
62.
Find the measure of the indicated angle.


What kind of triangle is this? Be specific.
_______

x=_______

m∠E=_______ °
Question 63
63.
Find the length of the indicated side.

What kind on triangles this? (Be specific).
_______

x=_______

DE=_______
Question 64
64.
Find the length of the indicated side.

What kind on triangles this? (Be specific).
_______

x=_______

KL=_______

Main Idea: Triangle Congruence: SSS, SAS, ASA, AAS, HL

Question 65
65.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 66
66.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 67
67.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 68
68.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 69
69.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 70
70.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 71
71.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______
Question 72
72.
What is the measure of ∠L?
m∠L=_______ °

State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______

If possible write a congruency statement. If not write n/a in the blank.
△XZY ≅△_______

Use the diagram to answer these questions:

What is the measure of ∠Z?
m∠Z=_______ °

What is the measure of ∠Y?
m∠Y=_______ °
Question 73
73.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information.

_______

If possible write a congruency statement. If not write n/a in the blank.
△TUV ≅△_______
Question 74
74.
State whether these triangles can be proven congruent, by SSS, SAS, AAS, ASA, or HL? If it is not possible state not enough information,
_______

If possible write a congruency statement. If not write n/a in the blank.
△QNP ≅△_______

Use the diagram to answer these questions:

What is the measure of ∠PNQ?
m∠PNQ=_______ °

What is the measure of ∠SQN?
m∠SQN=_______ °
Question 75
75.

x=_______
y=_______
Given △MKP≅△YAC, complete each of the following statements with the corresponding parts.
KM≅_______
CY≅_______
PK≅_______
∠Y≅∠_______
∠K≅∠_______
∠ACY≅∠_______

Write the correct congruency statement.
△MPK≅△_______
△YAC≅△_______
Given △STW≅△BFN, find each missing measure.
BN=_______
TW=_______
BF=_______
m∠W=_______
m∠B=_______
m∠F=_______

Write the correct congruency statement.
△WTS≅△_______
△FNB≅△_______
Question 78
78.
Given △GHJ≅△XYZ, find each missing measure.
GJ=_______
XY=_______
ZY=_______
m∠H=_______
m∠Z=_______
m∠J=_______

Write the correct congruency statement.
△HJG≅△_______
△ZXY≅△_______
Match the description of a translation to its coordinate form
to the right 3 units and down 3 units
(x+2,y+3)
to the left 5 units and up 6 units
(x-5,y+6)
to the right 3 units and up 3 units
(x+1,y-7)
to the right 1 units and down 7 units
(x+3,y-3)
to the left 3 units and down 3 units
(x-3,y-3)
to the left 2 units and up 8 units
(x+3,y+3)
to the right 2 units and up 3 units
(x-2,y+8)
to the right 1 units and up 1 units
(x+1,y+1)
(x,y) → (x+2, y-2)
Two angles that are
adjacent and supplementary.
They form astraight line!
Supplementary angles
Any two angles whose sum is 180°
Complementary angles
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
Linear pairs
Any two angles whose sum is 90°
Adjacent Angles