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Biblioteka

Raw Semester 2 Final Study Guide (Due 6/3/24) (5/27/2025)

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97

Day 1 6/1/24

Solving Quadratics by Factoring

10
10
Obavezno
10
Obavezno
10

Solving Equations by Taking Square Roots

Obavezno
10
Obavezno
10
Obavezno
10

Completing the Square: Rational Solutions

Obavezno
20
Obavezno
20

Completing the Square: Irrational Solutions

Obavezno
20
20

Using the Quadratic Formula

Obavezno
16

Quadratic Formula with Irrational Roots

Obavezno
20
Obavezno
20
Obavezno
20
  1. Day 2 5/29/24

Imaginary Numbers

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
20
Obavezno
20

Completing the Square with Imaginary Numbers

Obavezno
20
Obavezno
20

Using the Quadratic Equation with Imaginary Numbers

Obavezno
20
Obavezno
20
Obavezno
20
Obavezno
20

Geometry Basics

Obavezno
20
Obavezno
10

Naming Angles

Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6

Using Parallel Lines To Find The Measures Of Indicated Angles

Obavezno
35
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Day 3 5/30/24

Angles formed by Parallel Lines cut by a Transversal

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
30
Obavezno
30

Sums of the Interior Angles of a Polygon

Obavezno
10
Obavezno
30
Obavezno
10

Interior and Exterior Angles of Polygons

Obavezno
3
Obavezno
3
Obavezno
30
Obavezno
10
Obavezno
10

Angles of a Triangle

Obavezno
15
Obavezno
10
Obavezno
40

Triangle Inequality Theorem

Obavezno
12
Obavezno
12

Day 4 5/31/24

Dilations

Obavezno
10
Obavezno
10
Obavezno
20
Obavezno
10
Obavezno
10

Ratios and Proportions

Obavezno
10
Obavezno
10
Obavezno
10
10
10

Similarity

Obavezno
40
Obavezno
5
Obavezno
5
Obavezno
10

Triangle Proportionality

Obavezno
10
Obavezno
10
Obavezno
10

Day 5 6/3/24

Trigonometric Functions

Obavezno
10
Obavezno
10
Obavezno
10

Properties of Parallelograms

20
Obavezno
10
Obavezno
30

Rectangles

Obavezno
30
Obavezno
25

Rhombi

Obavezno
30
Obavezno
20

Squares

Obavezno
30
Obavezno
20

Trapezoids

Obavezno
15

Midsegments of Trapezoid

Obavezno
5
Obavezno
20
Pitanje 1
1.

Factor this standard form quadratic expression.

Use the box method to show your work.

Pitanje 2
2.

Factor this standard form quadratic expression.

Use the box method to show your work.

Pitanje 3
3.

Solve this quadratic equation.

Solution 1:

Solution 2:

Pitanje 4
4.

Solve this quadratic equation.

Solution 1:

Solution 2:

Pitanje 5
5.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution 2:

Pitanje 6
6.

Solve this quadratic equation by taking the square root.

Pitanje 7
7.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution 2:

Pitanje 8
8.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Solution 1:

Solution 2:

Pitanje 9
9.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Solution 1:

Solution 2:

Pitanje 10
10.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Solution 1:

Solution 2:

Pitanje 11
11.

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.

Solution 1:

Solution 2:

Pitanje 12
12.

Solve this Quadratic Equation:

a=

b=

c=

Solution 1:

Solution 2:

Pitanje 13
13.

Solve this Quadratic Equation:

Solution 1:

Solution 2:

Pitanje 14
14.

Solve this Quadratic Equation:

Solution 1:

Solution 2:

Pitanje 15
15.

Solve this Quadratic Equation:

Solution 1:

Solution 2:

Pitanje 16
16.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 17
17.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 18
18.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 19
19.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 20
20.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 21
21.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 22
22.

Solve use completing the square method to solve this quadratic. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 23
23.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Pitanje 24
24.

Solve this quadratic using any method. Write the answer in the simplest form.

Solution 1

Solution 2

Pitanje 25
25.

Solve this quadratic using any method. Write the answer in the simplest form.

Solution 1

Solution 2

Pitanje 26
26.

Solve this quadratic using any method. Write the answer in the simplest form.

Solution 1

Solution 2

Pitanje 27
27.

Solve this quadratic using any method. Write the answer in the simplest form.

Solution 1

Solution 2

Pitanje 28
28.

Use the figure below to answer question. Let m∠MQP= 80.

m∠MQN=

m∠NQP=

Pitanje 29
29.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x and y.

x=

y=

Pitanje 30
30.

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 32
32.

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 34
34.

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 36
36.

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 38
38.

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.

If m∠1 = 62°, find each measure.

m∠2=

m∠3=

m∠4=

m∠5=

m∠6=

m∠7=

m∠8=

Pitanje 41
41.

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

What is the measure missing angle?

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

Pitanje 42
42.

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

What is the measure missing angle?

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

Pitanje 43
43.

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

What is the measure missing angle?

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

Pitanje 44
44.

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

What is the measure missing angle?

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

Pitanje 45
45.

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

What is the measure missing angle?

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

Pitanje 46
46.

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

What is the measure missing angle?

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

Pitanje 47
47.

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

What is the measure missing angle?

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

Pitanje 48
48.

If l ∥ m, then solve for x.

Pitanje 49
49.

If l ∥ m, then solve for x.

Pitanje 50
50.

If l ∥ m, then solve for x.

Pitanje 51
51.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(6x+20)° = °

(8x)° = °

Pitanje 52
52.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(7x+10)° = °

(15x +16 )° = °

Pitanje 53
53.

Find the sum of the measures of the interior angles in each polygon.

16-gon

degrees

20-gon

degrees

100-gon

degrees

Pitanje 54
54.

Find the sum of the measures of the interior angles in each polygon.

14-gon

degrees

Each angle is

25-gon

degrees

Each angle is

85-gon

degrees

Each angle is

Pitanje 55
55.

Find the value of x.

Pitanje 56
56.

What is the sum of the exterior angles of any polygon?

Pitanje 57
57.

What is the formula to find one exterior angle of any polygon?

Pitanje 58
58.

Find the sum of the measures of the exterior angles in each polygon.

14-gon

degrees

Each angle is

25-gon

degrees

Each angle is

85-gon

degrees

Each angle is

Pitanje 59
59.

Find the value of x.

Pitanje 60
60.

Find the value of x.

Pitanje 61
61.

Find each missing angle measures.

m∠1= °

m∠2= °

m∠3= °

m∠4= °

m∠5= °

Pitanje 62
62.

Find the value of x.

Pitanje 63
63.

Find the value:

x= °

m∠D= °

m∠E= °

m∠F= °

Pitanje 64
64.

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:

14 and 22

a) Set up difference and sum that shows the possible range of side lengths for the third side

- <third side (x) < +

b) Write the inequality the shows the range of lengths that could be a third side this triangle:

< x <

Pitanje 65
65.

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:

31 and 28

a) Set up difference and sum that shows the possible range of side lengths for the third side

- <third side (x)< +

b) Write the inequality the shows the range of lengths that could be a third side this triangle:

< x <

Pitanje 66
66.

This is an example of what kind of dilation?

Scale factor can be written as (x,y)→(kx, ky)

The scale factor is of this example is (x,y)→

Pitanje 67
67.

This is an example of what kind of dilation?

Scale factor can be written as (x,y)→(kx, ky)

The scale factor is of this example is (x,y)→

Pitanje 68
68.

Graph and label each figure and its image under a dilation with the given

scale factor. Assume all dilations use the origin as the center of dilation.

J':

L':

K':

M':

Pitanje 69
69.

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)

scale factor

k=

Pitanje 70
70.

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)

scale factor

k=

Pitanje 71
71.

What are the three ways to represent a ratio?

1.

2.

3.

Pitanje 72
72.

Use the given ratios to solve each problem:

The ratio of the measures of two complementary angles is 7:8. What is the measure of the smaller angle?

Pitanje 73
73.

Use the given ratios to solve each problem:

The ratio of the measures of the three angles in a triangle is 10:3:7. Find the measure of the largest angle.

Pitanje 74
74.

Solve each proportion.

Pitanje 75
75.

Solve each proportion.

Pitanje 76
76.

Use this similarity statement △FGH ~△JKH to list the similar parts.

∠H=∠

∠J=∠

∠G=∠

JH~

GH~

FG~

Write a proportion based on the corresponding sides

=

Pitanje 77
77.

The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

:

Pitanje 78
78.

The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

:

Pitanje 79
79.

If △JKL ~ △NMP, find the value of x.

x=

Pitanje 80
80.

Use the Triangle Proportionality Theorem to solve for x.

x=

Pitanje 81
81.

Use the Triangle Proportionality Theorem to solve for x.

x=

Pitanje 82
82.

Use the Parallel Lines and Proportional Parts to solve for x.

x=

Pitanje 83
83.

What is the correct ratio of sides for each trigonometric function?

sin ϴ=

cos ϴ=

tan ϴ=

Pitanje 84
84.

Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.

sin θ=

cos θ=

tan θ=

Pitanje 85
85.

Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.

sin θ=

cos θ=

tan θ=

Pitanje 86
86.

▱LMNP is a parallelogram.

Solve for x.

What is the length of LM?

Pitanje 87
87.

▱STUV is a parallelogram.

If TV = 74 and WV = 4x + 1, solve for x.

Pitanje 88
88.

▱ABCD is a parallelogram.

Solve for x.

Find m∠R

Find m∠Q

Pitanje 89
89.

If each quadrilateral below is a rectangle, find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )

m∠BCD=

m∠ADE=

m∠ABD=

m∠AEB=

m∠CBE=

m∠DEA=

Pitanje 90
90.

If each quadrilateral below is a rectangle, find the missing measures.

VW=

WX=

YW=

ZX=

VX=

Pitanje 91
91.

If each quadrilateral below is a rhombus, use the given information to find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )

m∠KNL=

m∠KJL=

m∠MLK=

m∠JKM=

m∠JML=

Pitanje 92
92.

If each quadrilateral below is a rhombus, use the given information to find the missing measures.

x=

Do not for get to use the degree symbol in your answers. ( ° )

m∠ADB=

m∠BAD=

Pitanje 93
93.

If the quadrilateral below is a square, find the missing measures.

Do not forget to use the degree symbol in your answers. ( ° )

m∠EFG=

m∠GDH=

m∠GEF=

m∠DHG=

Pitanje 94
94.

If the quadrilateral below is a square, solve for x and find the missing measures.

x=

Do not forget to use the degree symbol in your answers. ( ° )

m∠RQT=

m∠PTQ=

Pitanje 95
95.

If the quadrilateral below is a trapezoid, find the missing measures.

Find x=

Do not forget to use the degree symbol in your answers. ( ° )

m∠VST=

Pitanje 96
96.

Find WX.

WX=

Pitanje 97
97.

Find GH.

x=

GH=