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Biblioteka

Semester 2 Final Study Guide (Due 6/3/24)

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Posljednje ažuriranje 4 months ago
93 questions

Day 1 5/28/24

Solving Systems of Equations by Graphing

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Solving Systems of Equations by Substitution

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Solving Systems of Equations by Elimination

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Solving Systems of Equations Based on Real-World Situations

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Day 2 5/29/23

Main Idea: Translations

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Translations

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Translations with Vectors

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Main Idea: Reflections

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Rotations

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Day 3 5/30/24

Angle Addition

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Angles Formed by Parallel Lines

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Segment Addition

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Midpoint of a Segment

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Day 4 5/31/24

Classifying Triangles

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Triangles

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

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Main Idea: CPCTC

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Slope-Intercept Form

Slope (m)

y-intercept (b)

Pitanje 1
1.

The slope of a line is the ratio of . Another name for slope is

Pitanje 18
18.

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

(x,y) →

Pitanje 19
19.

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

Pitanje 20
20.

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

(x,y) →

Pitanje 21
21.

△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 22
22.

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.

Pitanje 23
23.

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.

Pitanje 24
24.

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

Pitanje 25
25.

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

Pitanje 26
26.

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

Pitanje 27
27.

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

Pitanje 28
28.

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

Pitanje 29
29.

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

Reflections

Pitanje 30
30.

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 31
31.

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 32
32.

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 33
33.

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 34
34.

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Pitanje 35
35.

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'

Pitanje 36
36.

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Pitanje 37
37.

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 38
38.

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Pitanje 39
39.

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 40
40.

What type of angle is formed by a straight line?

Pitanje 41
41.

What is an angle between 90 and 180 degrees called?

Pitanje 42
42.

What type of angle measures between 0 and 90 degrees?

Pitanje 43
43.

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

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Two angles that are

adjacent and supplementary.

They form astraight line!

arrow_right_alt

Vertical angles

Two angles across from each other on

intersecting lines. They share a vertex and they are always congruent!

arrow_right_alt

Supplementary angles

Any two angles whose sum is 180°

arrow_right_alt

Complementary angles

Two angles that share a vertex and

a common side. They are next to each other

arrow_right_alt

Linear pairs

Any two angles whose sum is 90°

arrow_right_alt

Adjacent Angles

Pitanje 44
44.

Name two angles that are supplementary.

Pitanje 45
45.

Name two angles that are vertical.

Pitanje 46
46.

Name all angles that are obtuse.

Pitanje 47
47.

Name all angles that are acute.

Pitanje 48
48.

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

m∠CAB=

m∠CAD=

Pitanje 49
49.

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

x=

y=

z=

Pitanje 50
50.

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 52
52.

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 54
54.

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 .

Using Parallel Lines

Pitanje 56
56.

If m∠6 =142°, find each measure.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

m∠7=

m∠8=

Pitanje 57
57.

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

∠4=45° because

Pitanje 59
59.

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

∠1=130° because

Pitanje 61
61.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(3x + 4)° = °

(5x – 8)° = °

Pitanje 62
62.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(6x+20)° = °

(8x)° = °

Use the diagram below to answer questions 1 and 2.

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Pitanje 63
63.

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

LN=

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Pitanje 64
64.

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

MN=

Pitanje 65
65.

DF = 9x – 39.

Find these values.

x=

EF=

DF=

Pitanje 66
66.

T is the midpoint of SU.

Find these values.

x=

ST=

UT=

SU=

Proving Lines are Parallel

Methods to Prove Lines Parallel

Pitanje 67
67.

Find x so that a || b.

x=

State the converse used.

Pitanje 68
68.

Find x so that a || b.

x=

State the converse used.

Pitanje 69
69.

Find x so that a || b.

x=

State the converse used.

Pitanje 70
70.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

Pitanje 71
71.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Pitanje 72
72.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Pitanje 73
73.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

Pitanje 74
74.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Pitanje 75
75.

Find each missing measure.

Pitanje 76
76.

Find the value of x.

Pitanje 77
77.

Find the measure of the indicated angle.

Pitanje 78
78.

Find the length of the indicated side.

Pitanje 79
79.

Find the length of the indicated side.

Pitanje 80
80.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 81
81.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 82
82.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 83
83.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 84
84.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 85
85.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 86
86.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

Pitanje 87
87.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

What is the measure of ∠L?

m∠L= °

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

If possible write a congruency statement. If not write n/a in both blanks.

△ ≅△

Use the diagram to answer these questions:

What is the measure of ∠Z?

m∠Z= °

What is the measure of ∠Y?

m∠Y= °

Pitanje 88
88.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

If possible write a congruency statement. If not write n/a in both blanks.

△ ≅△

Use the diagram to answer these questions:

What is the measure of ∠PNQ?

m∠PNQ= °

What is the measure of ∠SQN?

m∠SQN= °

Pitanje 89
89.

State whether the triangles can be proven congruent, if possible, by SSS, SAS, AAS, ASA, or HL. Include a congruency statement for all congruent triangles.

Are they congruent using SSS, SAS, AAS, ASA, or HL? Or not enough information?

If possible write a congruency statement. If not write n/a in both blanks.

△ ≅△

Pitanje 90
90.

x=

y=

Pitanje 91
91.

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≅△

Pitanje 92
92.

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

BN=

TW=

BF=

m∠W=

m∠B=

m∠F=

Write the correct congruency statement.

△WTS≅△

△FNB≅△

Pitanje 93
93.

Given △GHJ≅△XYZ, find each missing measure.

GJ=

XY=

ZY=

m∠H=

m∠Z=

m∠J=

Write the correct congruency statement.

△HJG≅△

△ZXY≅△