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Laabri

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

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97 Nsɛmmisa

Day 1 5/28/24

Solving Quadratics by Factoring

10
10
Ɛhia
10
Ɛhia
10

Solving Equations by Taking Square Roots

Ɛhia
10
Ɛhia
10
Ɛhia
10

Completing the Square: Rational Solutions

Ɛhia
20
Ɛhia
20

Completing the Square: Irrational Solutions

Ɛhia
20
20

Using the Quadratic Formula

Ɛhia
16

Quadratic Formula with Irrational Roots

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

Imaginary Numbers

Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
20
Ɛhia
20

Completing the Square with Imaginary Numbers

Ɛhia
20
Ɛhia
20

Using the Quadratic Equation with Imaginary Numbers

Ɛhia
20
Ɛhia
20
Ɛhia
20
Ɛhia
20

Geometry Basics

Ɛhia
20
Ɛhia
10

Naming Angles

Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6
Ɛhia
6

Using Parallel Lines To Find The Measures Of Indicated Angles

Ɛhia
35
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10

Day 3 5/30/24

Angles formed by Parallel Lines cut by a Transversal

Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
30
Ɛhia
30

Sums of the Interior Angles of a Polygon

Ɛhia
10
Ɛhia
30
Ɛhia
10

Interior and Exterior Angles of Polygons

Ɛhia
3
Ɛhia
3
Ɛhia
30
Ɛhia
10
Ɛhia
10

Angles of a Triangle

Ɛhia
15
Ɛhia
10
Ɛhia
40

Triangle Inequality Theorem

Ɛhia
12
Ɛhia
12

Day 4 5/31/24

Dilations

Ɛhia
10
Ɛhia
10
Ɛhia
20
Ɛhia
10
Ɛhia
10

Ratios and Proportions

Ɛhia
10
Ɛhia
10
Ɛhia
10
10
10

Similarity

Ɛhia
40
Ɛhia
5
Ɛhia
5
Ɛhia
10

Triangle Proportionality

Ɛhia
10
Ɛhia
10
Ɛhia
10

Day 5 6/3/24

Trigonometric Functions

Ɛhia
10
Ɛhia
10
Ɛhia
10

Properties of Parallelograms

20
Ɛhia
10
Ɛhia
30

Rectangles

Ɛhia
30
Ɛhia
25

Rhombi

Ɛhia
30
Ɛhia
20

Squares

Ɛhia
30
Ɛhia
20

Trapezoids

Ɛhia
15

Midsegments of Trapezoid

Ɛhia
5
Ɛhia
20
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Factor this standard form quadratic expression.

Use the box method to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Factor this standard form quadratic expression.

Use the box method to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Solve this quadratic equation.

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Solve this quadratic equation.

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Solve this quadratic equation by taking the square root.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Solve this quadratic equation by taking the square root.

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

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

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Solve this Quadratic Equation:

a=

b=

c=

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Solve this Quadratic Equation:

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Solve this Quadratic Equation:

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Solve this Quadratic Equation:

Solution 1:

Solution 2:

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

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

Solution 1

Solution 2

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

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

m∠MQN=

m∠NQP=

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

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

x=

y=

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

If m∠1 = 62°, find each measure.

m∠2=

m∠3=

m∠4=

m∠5=

m∠6=

m∠7=

m∠8=

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
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).

Asemmisa {{asɛmmisaAhyɛnsode}}
48.

If l ∥ m, then solve for x.

Asemmisa {{asɛmmisaAhyɛnsode}}
49.

If l ∥ m, then solve for x.

Asemmisa {{asɛmmisaAhyɛnsode}}
50.

If l ∥ m, then solve for x.

Asemmisa {{asɛmmisaAhyɛnsode}}
51.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(6x+20)° = °

(8x)° = °

Asemmisa {{asɛmmisaAhyɛnsode}}
52.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(7x+10)° = °

(15x +16 )° = °

Asemmisa {{asɛmmisaAhyɛnsode}}
53.

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

16-gon

degrees

20-gon

degrees

100-gon

degrees

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
55.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
56.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
57.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
59.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
60.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
61.

Find each missing angle measures.

m∠1= °

m∠2= °

m∠3= °

m∠4= °

m∠5= °

Asemmisa {{asɛmmisaAhyɛnsode}}
62.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
63.

Find the value:

x= °

m∠D= °

m∠E= °

m∠F= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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 <

Asemmisa {{asɛmmisaAhyɛnsode}}
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 <

Asemmisa {{asɛmmisaAhyɛnsode}}
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)→

Asemmisa {{asɛmmisaAhyɛnsode}}
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)→

Asemmisa {{asɛmmisaAhyɛnsode}}
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':

Asemmisa {{asɛmmisaAhyɛnsode}}
69.

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

center of dilation (x,y)

scale factor

k=

Asemmisa {{asɛmmisaAhyɛnsode}}
70.

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

center of dilation (x,y)

scale factor

k=

Asemmisa {{asɛmmisaAhyɛnsode}}
71.

What are the three ways to represent a ratio?

1.

2.

3.

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
74.

Solve each proportion.

Asemmisa {{asɛmmisaAhyɛnsode}}
75.

Solve each proportion.

Asemmisa {{asɛmmisaAhyɛnsode}}
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

=

Asemmisa {{asɛmmisaAhyɛnsode}}
77.

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

:

Asemmisa {{asɛmmisaAhyɛnsode}}
78.

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

:

Asemmisa {{asɛmmisaAhyɛnsode}}
79.

If △JKL ~ △NMP, find the value of x.

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
80.

Use the Triangle Proportionality Theorem to solve for x.

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
81.

Use the Triangle Proportionality Theorem to solve for x.

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
82.

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

x=

Asemmisa {{asɛmmisaAhyɛnsode}}
83.

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

sin ϴ=

cos ϴ=

tan ϴ=

Asemmisa {{asɛmmisaAhyɛnsode}}
84.

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

sin θ=

cos θ=

tan θ=

Asemmisa {{asɛmmisaAhyɛnsode}}
85.

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

sin θ=

cos θ=

tan θ=

Asemmisa {{asɛmmisaAhyɛnsode}}
86.

▱LMNP is a parallelogram.

Solve for x.

What is the length of LM?

Asemmisa {{asɛmmisaAhyɛnsode}}
87.

▱STUV is a parallelogram.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
88.

▱ABCD is a parallelogram.

Solve for x.

Find m∠R

Find m∠Q

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
90.

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

VW=

WX=

YW=

ZX=

VX=

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
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=

Asemmisa {{asɛmmisaAhyɛnsode}}
96.

Find WX.

WX=

Asemmisa {{asɛmmisaAhyɛnsode}}
97.

Find GH.

x=

GH=