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Biblioteka

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

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Posljednje ažuriranje about 2 months ago
81

Day 1 6/3/23

Day 2 6/4/25

Day 3 6/5/25

Day 5 6/6/25

Main Idea: Stats

Obavezno
60
Obavezno
20
Obavezno
65

Main Idea: Transformation

Obavezno
9
Pitanje 1
1.

What are the three types of rigid motion?

"Spin"

"Slide"

"Flip"

Main Idea: Translations

Obavezno
16
Obavezno
5
Obavezno
5
Obavezno
2
Obavezno
5
Obavezno
15
Obavezno
20

Main Idea: Translations with Vectors

Obavezno
5
Pitanje 9
9.

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

Obavezno
5
Pitanje 10
10.

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

Obavezno
20
Pitanje 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.

Obavezno
2
Obavezno
2
Obavezno
2
Obavezno
2
Obavezno
20
Obavezno
20
Obavezno
20
Obavezno
20

Rotations

Obavezno
15
Pitanje 20
20.

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) →

Obavezno
20
Pitanje 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'

Obavezno
20
Obavezno
20

Main Idea: Angle Basics

Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
10
Obavezno
4
Obavezno
4
Obavezno
2
Obavezno
6
Obavezno
20
Obavezno
15

Main Idea: Segment Addition

Obavezno
5
Pitanje 34
34.

If LM = 22 and MN = 15, find LN.

LN=

Obavezno
5
Pitanje 35
35.

If LN = 54 and LM = 31, find MN.

MN=

Obavezno
15
Pitanje 36
36.

DF = 9x – 39.

Find these values.

x=

EF=

DF=

Main Idea: Midpoint of a Segment

Obavezno
20
Pitanje 37
37.

T is the midpoint of SU.

Find these values.

x=

ST=

UT=

SU=

Main Idea: Angles Formed by Parallel Lines

Obavezno
6
Pitanje 38
38.
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
35
Obavezno
3
Obavezno
3
Obavezno
3
Obavezno
3
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Classifying Triangles

Obavezno
5
Pitanje 55
55.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

Obavezno
5
Pitanje 56
56.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Obavezno
5
Obavezno
5
Obavezno
5

Triangles

Obavezno
10
Pitanje 60
60.

Find the missing measure.

Obavezno
10
Pitanje 61
61.

Find the value of x.

10
10
Obavezno
15

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

Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
30
Obavezno
30
Obavezno
30
Obavezno
20

Main Idea: CPCTC

Obavezno
20
Pitanje 76
76.

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≅△

Obavezno
20
Pitanje 77
77.

Given △STW≅△BFN, find each missing measure.

BN=

TW=

BF=

m∠W=

m∠B=

m∠F=

Write the correct congruency statement.

△WTS≅△

△FNB≅△

Obavezno
20
Pitanje 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.

Pitanje 80
80.

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

Pitanje 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.

Pitanje 2
2.

Match the description of a translation to its coordinate form

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

to the left 2 units and up 8 units

arrow_right_alt

(x+2,y+3)

to the right 2 units and up 3 units

arrow_right_alt

(x-5,y+6)

to the left 3 units and down 3 units

arrow_right_alt

(x+1,y-7)

to the right 3 units and up 3 units

arrow_right_alt

(x+3,y-3)

to the right 3 units and down 3 units

arrow_right_alt

(x-3,y-3)

to the left 5 units and up 6 units

arrow_right_alt

(x+3,y+3)

to the right 1 units and up 1 units

arrow_right_alt

(x-2,y+8)

to the right 1 units and down 7 units

arrow_right_alt

(x+1,y+1)

Pitanje 3
3.

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

Use your own words to describe the rule.

Pitanje 4
4.

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

(x,y) →

Pitanje 5
5.

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

Pitanje 6
6.

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

(x,y) →

Pitanje 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'

Pitanje 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.

Main Idea: Reflections

Pitanje 12
12.

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

Pitanje 13
13.

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

Pitanje 14
14.

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

Pitanje 15
15.

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

Pitanje 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'

Pitanje 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'

Pitanje 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'

Pitanje 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'

Pitanje 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'

Pitanje 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'

Pitanje 24
24.

What type of angle is formed by a straight line?

Pitanje 25
25.

What is an angle between 90 and 180 degrees called?

Pitanje 26
26.

What type of angle measures between 0 and 90 degrees?

Pitanje 27
27.

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

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Any two angles whose sum is 90°

arrow_right_alt

Vertical angles

Two angles that share a vertex and

a common side. They are next to each other

arrow_right_alt

Supplementary angles

Two angles that are

adjacent and supplementary.

They form astraight line!

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

Pitanje 28
28.

Name two angles that are vertical.

Pitanje 29
29.

Name two angles that are supplementary.

Pitanje 30
30.

Name all angles that are obtuse.

Pitanje 31
31.

Name all angles that are acute.

Pitanje 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. °

Pitanje 33
33.

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

x=

y=

z=

Name the angle relationship between the two indicated angles in the diagram:

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

Pitanje 40
40.

Name the angle relationship between the two indicated angles in the diagram:

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

Pitanje 42
42.

Name the angle relationship between the two indicated angles in the diagram:

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

Main Idea: Using Parallel Lines

Pitanje 44
44.

If m∠6 =142°, find each measure.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

m∠7=

m∠8=

Pitanje 45
45.

Tell why each of the angles indicated are congruent to the angle measure shown.

∠4=45° because

Pitanje 47
47.

Tell why each of the angles indicated are congruent to the angle measure shown.

∠1=130° because

Pitanje 49
49.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(3x + 4)° = °

(5x – 8)° = °

Pitanje 50
50.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(6x+20)° = °

(8x)° = °

Pitanje 51
51.

Given a || b. Find the missing values.

x=

Why are these angles congruent?

Pitanje 52
52.

If a || b, find x.

x=

Why are these angles congruent?

Pitanje 53
53.

If l || m, find x.

x=

Why are these angles congruent?

Pitanje 54
54.

If l || m, find x.

x=

Pitanje 57
57.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

Pitanje 58
58.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Pitanje 59
59.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Pitanje 62
62.

Find the measure of the indicated angle.

What kind of triangle is this? Be specific.

x=

m∠E= °

Pitanje 63
63.

Find the length of the indicated side.

What kind on triangles this? (Be specific).

x=

DE=

Pitanje 64
64.

Find the length of the indicated side.

What kind on triangles this? (Be specific).

x=

KL=

Pitanje 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,

Pitanje 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,

Pitanje 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,

Pitanje 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,

Pitanje 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,

Pitanje 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,

Pitanje 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,

Pitanje 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= °

Pitanje 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 ≅△

Pitanje 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= °

Pitanje 75
75.

x=

y=

Pitanje 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≅△