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Laabri

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

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93 Nsɛmmisa

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)

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

(x,y) →

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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

(x,y) →

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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'

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

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

Reflections

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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'

Asemmisa {{asɛmmisaAhyɛnsode}}
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'

Asemmisa {{asɛmmisaAhyɛnsode}}
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'

Asemmisa {{asɛmmisaAhyɛnsode}}
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'

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Asemmisa {{asɛmmisaAhyɛnsode}}
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'

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Asemmisa {{asɛmmisaAhyɛnsode}}
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'

Asemmisa {{asɛmmisaAhyɛnsode}}
38.

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Asemmisa {{asɛmmisaAhyɛnsode}}
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'

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

What type of angle is formed by a straight line?

Asemmisa {{asɛmmisaAhyɛnsode}}
41.

What is an angle between 90 and 180 degrees called?

Asemmisa {{asɛmmisaAhyɛnsode}}
42.

What type of angle measures between 0 and 90 degrees?

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43.

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

Draggable itemarrow_right_altCorresponding Item

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

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44.

Name two angles that are supplementary.

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45.

Name two angles that are vertical.

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46.

Name all angles that are obtuse.

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47.

Name all angles that are acute.

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48.

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

m∠CAB=

m∠CAD=

Asemmisa {{asɛmmisaAhyɛnsode}}
49.

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

x=

y=

z=

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
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 .

Asemmisa {{asɛmmisaAhyɛnsode}}
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

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56.

If m∠6 =142°, find each measure.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

m∠7=

m∠8=

Asemmisa {{asɛmmisaAhyɛnsode}}
57.

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

∠4=45° because

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59.

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

∠1=130° because

Asemmisa {{asɛmmisaAhyɛnsode}}
61.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(3x + 4)° = °

(5x – 8)° = °

Asemmisa {{asɛmmisaAhyɛnsode}}
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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63.

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

LN=

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64.

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

MN=

Asemmisa {{asɛmmisaAhyɛnsode}}
65.

DF = 9x – 39.

Find these values.

x=

EF=

DF=

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66.

T is the midpoint of SU.

Find these values.

x=

ST=

UT=

SU=

Proving Lines are Parallel

Methods to Prove Lines Parallel

Asemmisa {{asɛmmisaAhyɛnsode}}
67.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}
68.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}
69.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}
70.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

Asemmisa {{asɛmmisaAhyɛnsode}}
71.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Asemmisa {{asɛmmisaAhyɛnsode}}
72.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Asemmisa {{asɛmmisaAhyɛnsode}}
73.

Classify this triangle by its angles and sides.

Angle:

This is a triangle

Sides:

This is a triangle

Asemmisa {{asɛmmisaAhyɛnsode}}
74.

Classify this triangle by its angles and sides.

By its angles:

By its sides:

Asemmisa {{asɛmmisaAhyɛnsode}}
75.

Find each missing measure.

Asemmisa {{asɛmmisaAhyɛnsode}}
76.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
77.

Find the measure of the indicated angle.

Asemmisa {{asɛmmisaAhyɛnsode}}
78.

Find the length of the indicated side.

Asemmisa {{asɛmmisaAhyɛnsode}}
79.

Find the length of the indicated side.

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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= °

Asemmisa {{asɛmmisaAhyɛnsode}}
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.

△ ≅△

Asemmisa {{asɛmmisaAhyɛnsode}}
90.

x=

y=

Asemmisa {{asɛmmisaAhyɛnsode}}
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≅△

Asemmisa {{asɛmmisaAhyɛnsode}}
92.

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

BN=

TW=

BF=

m∠W=

m∠B=

m∠F=

Write the correct congruency statement.

△WTS≅△

△FNB≅△

Asemmisa {{asɛmmisaAhyɛnsode}}
93.

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

GJ=

XY=

ZY=

m∠H=

m∠Z=

m∠J=

Write the correct congruency statement.

△HJG≅△

△ZXY≅△