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

Day 1    5/28/24

Solving Quadratics by Factoring

10

Factor this standard form quadratic expression.
Use the box method to show your work.

10

Factor this standard form quadratic expression.

Use the box method to show your work.

Required

10

Solve this quadratic equation. 

Solution 1:
_______ 

Solution 2:
_______ 

Required

10

Solve this quadratic equation. 


Solution 1:
_______ 

Solution 2:
_______ 

Solving Equations by Taking Square Roots

Required

10

Solve this quadratic equation by taking the square root.

Solution 1:_______ 
Solution 2:_______

Required

10

Solve this quadratic equation by taking the square root.

Required

10

Solve this quadratic equation by taking the square root.

Solution 1:_______ 

Solution 2:_______

Completing the Square: Rational Solutions

Required

20

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

Solution 1:_______ 
Solution 2:_______ 

Required

20

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

Solution 1: _______ 
Solution 2:_______ 

Completing the Square: Irrational Solutions

Required

20

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

Solution 1:_______ 
Solution 2:_______ 

20

Use Completing the Square to solve this quadratic equation. Give all solutions in simplest form.
Solution 1:_______ 
Solution 2:_______ 

Using the Quadratic Formula

Required

16

Solve this Quadratic Equation:
 
a=_______ 
b=_______ 
c=_______ 

Solution 1:_______ 
Solution 2:_______ 

Quadratic Formula with Irrational Roots

Required

20

Solve this Quadratic Equation:

Solution 1:_______ 

Solution 2:_______

Required

20

Solve this Quadratic Equation:

Solution 1:_______ 

Solution 2:_______

Required

20

Solve this Quadratic Equation:

Solution 1:_______ 

Solution 2:_______

Day 2    5/29/24

Imaginary Numbers

Required

10

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

Solution 1_______ 
Solution 2 _______ 

Required

10

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

Solution 1_______ 
Solution 2 _______ 

Required

10

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

Solution 1_______ 
Solution 2 _______ 

Required

10

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

Solution 1_______ 
Solution 2 _______ 

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Completing the Square with Imaginary Numbers

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Using the Quadratic Equation with Imaginary Numbers

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Required

20

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

Solution 1_______ 
Solution 2 _______ 

Geometry Basics

Required

20

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

m∠MQN=_______ 

m∠NQP=_______

Required

10

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

x=_______ 

y=_______

Naming Angles

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Required

6

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 __________.

Using Parallel Lines To Find The Measures Of Indicated Angles

Required

35

If m∠1 = 62°, find each measure. 



m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠6=_______ 
m∠7=_______ 
m∠8=_______ 

Required

10

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).
_______ 

Required

10

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).
_______ 

Required

10

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).
_______ 

Required

10

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).
_______ 

Required

10

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).
_______ 

Required

10

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).
_______ 

Required

10

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).
_______ 

Day 3 5/30/24

Angles formed by Parallel Lines cut by a Transversal

Required

10

If l ∥ m, then solve for x.

Required

10

If l ∥ m, then solve for x.

Required

10

If l ∥ m, then solve for x.

Required

30

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(6x+20)° = _______ °

(8x)° = _______ °

Required

30

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(7x+10)° = _______ °

(15x +16 )° = _______ °

Sums of the Interior Angles of a Polygon

Required

10

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

16-gon
_______ degrees

20-gon

_______ degrees

100-gon
_______ degrees

Required

30

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_______ 

Required

10

Find the value of x.

Interior and Exterior Angles of Polygons

Required

3

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

Required

3

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

Required

30

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_______ 

Required

10

Find the value of x.

_______ 

Required

10

Find the value of x.

_______ 

Angles of a Triangle

Required

15

Find each missing angle measures.

m∠1=_______ °
m∠2=_______ °
m∠3=_______ °
m∠4=_______ °
m∠5=_______ °

Required

10

Find the value of x.

Required

40

Find the value:

x=_______ °
m∠D=_______ °
m∠E=_______ °
m∠F=_______ °

Triangle Inequality Theorem

Required

12

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 <_______

Required

12

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 <_______

Day 4 5/31/24

Dilations

Required

10

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)→ _______

Required

10

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)→ _______

Required

20

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': _______ 

Required

10

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

center of dilation (x,y)
_______ 

scale factor
k= _______

Required

10

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

center of dilation (x,y)
_______ 

scale factor
k= _______

Ratios and Proportions

Required

10

What are the three ways to represent a ratio?

_______ 
_______ 
_______ 

Required

10

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?

Required

10

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.

10

Solve each proportion.

10

Solve each proportion.

Similarity

Required

40

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
_______=_______ 

Required

5

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

_______:_______ 

Required

5

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

_______:_______ 

Required

10

If △JKL ~ △NMP, find the value of x.
x=_______ 

Triangle Proportionality

Required

10

Use the  Triangle Proportionality Theorem to solve for x.

x=_______ 

Required

10

Use the  Triangle Proportionality Theorem to solve for x.

x=_______ 

Required

10

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

x=_______ 

Day 5 6/3/24

Trigonometric Functions

Required

10

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

sin ϴ=_______ 

cos ϴ=_______ 

tan ϴ=_______

Required

10

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

sin θ=_______ 
cos θ=_______ 
tan θ=_______ 

Required

10

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

sin θ=_______ 
cos θ=_______ 
tan θ=_______ 

Properties of Parallelograms

20

▱LMNP is a parallelogram.

Solve for x.
_______ 
What is the length of LM?
_______ 

Required

10

▱STUV is a parallelogram.

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

Required

30

▱ABCD is a parallelogram.
Solve for x.
_______ 
Find m∠R
_______ 
Find m∠Q
_______ 
 

Rectangles

Required

30

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=_______ 

Required

25

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

VW=_______ 
WX=_______ 
YW=_______ 
ZX=_______ 
VX=_______ 

Rhombi

Required

30

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=_______  

Required

20

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=_______ 

Squares

Required

30

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=_______ 

Required

20

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=_______

Trapezoids

Required

15

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=_______

Midsegments of Trapezoid

Required

5

Find WX.

WX=

Required

20

Find GH.

x=_______ 
GH=_______

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

Day 1 5/28/24

Solving Quadratics by Factoring

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Solving Equations by Taking Square Roots

Solve this quadratic equation by taking the square root.

Completing the Square: Rational Solutions

Completing the Square: Irrational Solutions

Using the Quadratic Formula

Quadratic Formula with Irrational Roots

Imaginary Numbers

Completing the Square with Imaginary Numbers

Using the Quadratic Equation with Imaginary Numbers

Geometry Basics

Naming Angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Day 3 5/30/24

Angles formed by Parallel Lines cut by a Transversal

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

Sums of the Interior Angles of a Polygon

Find the value of x.

Interior and Exterior Angles of Polygons

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

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

Angles of a Triangle

Find the value of x.

Triangle Inequality Theorem

Day 4 5/31/24

Dilations

Ratios and Proportions

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?

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.

Solve each proportion.

Solve each proportion.

Similarity

Triangle Proportionality

Day 5 6/3/24

Trigonometric Functions

Properties of Parallelograms

▱STUV is a parallelogram.If TV = 74 and WV = 4x + 1, solve for x.

Rectangles

Rhombi

Squares

Trapezoids

Midsegments of Trapezoid

Find WX.WX=

Day 1 5/28/24

Solving Quadratics by Factoring

Factor this standard form quadratic expression. Use the box method to show your work.

Factor this standard form quadratic expression. Use the box method to show your work.

Solving Equations by Taking Square Roots

Solve this quadratic equation by taking the square root.

Completing the Square: Rational Solutions

Completing the Square: Irrational Solutions

Using the Quadratic Formula

Quadratic Formula with Irrational Roots

Imaginary Numbers

Completing the Square with Imaginary Numbers

Using the Quadratic Equation with Imaginary Numbers

Geometry Basics

Naming Angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Day 3 5/30/24

Angles formed by Parallel Lines cut by a Transversal

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

Sums of the Interior Angles of a Polygon

Find the value of x.

Interior and Exterior Angles of Polygons

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

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

Angles of a Triangle

Find the value of x.

Triangle Inequality Theorem

Day 4 5/31/24

Factor this standard form quadratic expression.
Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

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?

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.

▱STUV is a parallelogram.

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

Find WX.

WX=

Factor this standard form quadratic expression.
Use the box method to show your work.

Factor this standard form quadratic expression.

Use the box method to show your work.

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?

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.

▱STUV is a parallelogram.

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

Find WX.

WX=