Copy of Semester 2 Final Study Guide (Due 6/3/24) (7/21/2024)

Day 1 5/28/24

Solving Systems of Equations by Graphing

Slope-Intercept Form


Slope (m)
y-intercept (b)

Required

9

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

Required

5

Write the equation in slope intercept form with the given information:

Finding Intercepts

Required

3

Click on the y-intercept

Required

5

What are the x and y-intercepts for this function? Use desmos to help you identify them.
(Do not use spaces when you enter the coordinates)
5x+2y=14
\/\/\/\/\/\/\/\/\/\/\/
x-intercept
_______ 
y-intercept
_______ 

5

What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)

x-intercept
_______ 
y-intercept
_______ 

Required

20

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

_______ 

(Do not use spaces when you enter the coordinates)

Required

20

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Required

20

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Solving Systems of Equations by Substitution

Required

10

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Required

20

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Solving Systems of Equations by Elimination

Required

20

Solve each system of equations by elimination.

Required

20

Solve each system of equations by elimination.

Solving Systems of Equations Based on Real-World Situations

Required

20

Solve each word problem using substitution or elimination.

1st Number _______ 
2nd Number _______  

Required

20

Solve each word problem using substitution or elimination.

# of T/F questions_______ 
# of Multiple Choice Questions _______  

Day 2 5/29/23

Main Idea: Translations

Required

9

What are the three types of rigid motion?

"Spin"_______ 
"Slide"_______ 
"Flip"_______ 

Required

16

Match the description of a translation to its coordinate form

Draggable item		Corresponding Item
to the left 5 units and up 6 units		(x+2,y+3)
to the left 3 units and down 3 units		(x-5,y+6)
to the left 2 units and up 8 units		(x+1,y-7)
to the right 1 units and down 7 units		(x+3,y-3)
to the right 2 units and up 3 units		(x-3,y-3)
to the right 3 units and down 3 units		(x+3,y+3)
to the right 1 units and up 1 units		(x-2,y+8)
to the right 3 units and up 3 units		(x+1,y+1)

Required

5

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

Use your own words to describe the rule.

Required

5

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

(x,y) →

Required

2

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

Required

5

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

(x,y) →

Translations

Required

15

△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'_______ 

Required

20

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.

Required

20

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.

Translations with Vectors

Required

5

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

Required

5

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

Main Idea: Reflections

Required

2

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

Required

2

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

Required

2

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

Required

2

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

Reflections

Required

20

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'_______ 

Required

20

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'_______ 

Required

20

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'_______  

Required

20

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'_______ 

Rotations

Required

5

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Required

20

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'_______ 

Required

5

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Required

20

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'_______ 

Required

5

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Required

20

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'_______ 
 

Day 3 5/30/24

Angle Addition

Required

5

What type of angle is formed by a straight line?

Required

5

What is an angle between 90 and 180 degrees called?

Required

10

What type of angle measures between 0 and 90 degrees?

Required

10

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

Draggable item		Corresponding Item
Any two angles whose sum is 90°		Vertical angles
Two angles across from each other on intersecting lines. They share a vertex and they are always congruent!		Supplementary angles
Two angles that share a vertex and a common side. They are next to each other		Complementary angles
Any two angles whose sum is 180°		Linear pairs
Two angles that are adjacent and supplementary. They form astraight line!		Adjacent Angles

Required

4

Name two angles that are supplementary.

Required

4

Name two angles that are vertical.

Required

2

Name all angles that are obtuse.

Required

6

Name all angles that are acute.

Required

20

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

m∠CAB=_______ 

m∠CAD=_______

Required

15

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

x=_______ 
y=_______ 
z=_______ 

Angles Formed by Parallel Lines

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 

Required

35

If m∠6 =142°, find each measure. 



m∠1=_______ 
m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠7=_______ 
m∠8=_______ 

Required

3

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

∠4=45° because __________

Required

3

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

∠7=45° because __________

Required

3

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

∠1=130° because __________

Required

3

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

∠4=130° because __________

Required

10

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(3x + 4)° = _______ °

(5x – 8)° = _______ °

Required

10

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(6x+20)° = _______ °

(8x)° = _______ °

Segment Addition

Use the diagram below to answer questions 1 and 2.

Required

5

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

LN=_______ 

Required

5

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

MN=_______ 

Required

15

DF = 9x – 39.

Find these values.
x=_______ 
EF=_______ 
DF=_______ 

Midpoint of a Segment

Required

20

T is the midpoint of SU.

Find these values.
x=_______ 
ST=_______ 
UT=_______ 
SU=_______ 

Proving Lines are Parallel

Methods to Prove Lines Parallel

Required

10

Find x so that a || b. 
x=_______ 

State the converse used.
_______ 

Required

10

Find x so that a || b. 
x=_______ 

State the converse used.
_______ 

Required

10

Find x so that a || b. 
x=_______ 

State the converse used.
_______ 

Day 4 5/31/24

Classifying Triangles

Required

5

Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle

Sides:
This is a _______  triangle

Required

5

Classify this triangle by its angles and sides.
By its angles:
_______ 
By its sides:
_______ 

Required

5

Classify this triangle by its angles and sides.

By its angles:
 _______ 

By its sides:
_______ 

Required

5

Classify this triangle by its angles and sides.

Angle:
This is a  _______ triangle
Sides:
This is a  _______ triangle

Required

5

Classify this triangle by its angles and sides.

By its angles:
_______ 

By its sides:
_______ 

Triangles

Required

10

Find each missing measure.

Required

10

Find the value of x.

Required

10

Find the measure of the indicated angle.

Required

10

Find the length of the indicated side.

Required

10

Find the length of the indicated side.

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

Required

5

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?
_______ 

Required

5

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?
_______ 

Required

5

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?
_______ 

Required

5

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?
_______ 

Required

5

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?
_______ 

Required

5

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?
_______ 

Required

5

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?
_______ 

Required

30

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=_______ °

Required

30

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=_______ °

Required

30

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.
△_______ ≅△_______ 

Required

20

x=_______ 
y=_______  

Main Idea: CPCTC

Required

20

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≅△_______ 

Required

20

Given △STW≅△BFN, find each missing measure.
BN=_______ 
TW=_______ 
BF=_______ 
m∠W=_______ 
m∠B=_______ 
m∠F=_______ 

Write the correct congruency statement.
△WTS≅△_______ 
△FNB≅△_______ 

Required

20

Given △GHJ≅△XYZ, find each missing measure.
GJ=_______ 
XY=_______ 
ZY=_______ 
m∠H=_______ 
m∠Z=_______ 
m∠J=_______  

Write the correct congruency statement.
△HJG≅△_______ 
△ZXY≅△_______ 

Copy of Semester 2 Final Study Guide (Due 6/3/24) (7/21/2024)

Day 1 5/28/24

Solving Systems of Equations by Graphing

Slope-Intercept Form

Slope (m)

y-intercept (b)

Write the equation in slope intercept form with the given information:

Finding Intercepts

Click on the y-intercept

5x+2y=14

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Solving Systems of Equations by Substitution

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Solving Systems of Equations by Elimination

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Solving Systems of Equations Based on Real-World Situations

Day 2 5/29/23

Main Idea: Translations

Match the description of a translation to its coordinate form

What does the following rule describe? (x, y) → (x-2, y+5)Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.(x,y) →

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

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

Translations

Translations with Vectors

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

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

Main Idea: Reflections

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

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

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

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

Reflections

Rotations

Give each rule for counterclockwise rotations about the origin:90⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:180⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:270⁰ rotation counter clockwise (x, y) →________

Day 3 5/30/24

Angle Addition

What type of angle is formed by a straight line?

What is an angle between 90 and 180 degrees called?

What type of angle measures between 0 and 90 degrees?

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

Name two angles that are supplementary.

Name two angles that are vertical.

Name all angles that are obtuse.

Name all angles that are acute.

Angles Formed by Parallel Lines

Using Parallel Lines

Segment Addition

Midpoint of a Segment

Proving Lines are Parallel

Methods to Prove Lines Parallel

Day 4 5/31/24

Classifying Triangles

Triangles

Find each missing measure.

Find the value of x.

Find the measure of the indicated angle.

Find the length of the indicated side.

Find the length of the indicated side.

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

Main Idea: CPCTC

Day 1 5/28/24

Solving Systems of Equations by Graphing

Slope-Intercept Form

Slope (m)

y-intercept (b)

Write the equation in slope intercept form with the given information:

Finding Intercepts

Click on the y-intercept

5x+2y=14

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Solving Systems of Equations by Substitution

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

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

Use your own words to describe the rule.

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

(x,y) →

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

(x,y) →

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

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

Use your own words to describe the rule.

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

(x,y) →

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

(x,y) →

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________