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Laabri

Unit 6: Study Guide (Due 4/9/25)

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48 Nsɛmmisa

Day 1 4/7/25

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Naming Angles

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Day 2 4/8/25

Angle formed When Parallel Lines Are Cut By A Transversal

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This is the Unit assessment covering Parallel lines and the Angles formed when they are cut by a Transversal.

You may use your notes, past assignments, and Desmos to complete this assessment.

Complete the entire test and show your work for full credit. Responses without work will receive no points.

Use this example to answer the following questions

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1.

Name the vertex of the angle.

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2.

Name the sides of the angle.

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3.

Give three ways to name the angle.

Use the "∠" in your answer.

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4.

Classify the angle.

Use this example to answer the following questions

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5.

Name the vertex of the angle.

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6.

Name the sides of the angle.

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7.

Give three ways to name the angle.

Use the "∠" in your answer.

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8.

Classify the angle.

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9.

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!

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Vertical angles

Any two angles whose sum is 90°

arrow_right_alt

Supplementary angles

Two angles across from each other on

intersecting lines. They share a vertex and they are always congruent!

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 180°

arrow_right_alt

Adjacent Angles

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10.

Select all the adjacent angles to ∠1

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11.

Select all the vertical angles to ∠1

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12.

Select all the supplemental angles to ∠1

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13.

What is the value of x?

What kind of angles are these angles an examples of?

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14.

What is the value of x?

What kind of angles are these angles an examples of?

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15.

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

x°=

y°=

z°=

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16.

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

m∠CAB=

m∠CAD=

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17.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

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18.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

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19.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

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23.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

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24.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

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25.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

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26.

Name the angle relationship between the two indicated angles in the diagram if the lines cut by the transversal are parallel:

These angles are on the other two lines. Therefore these angles are .

Line Segments

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27.

If LM = 37 and MN = 22, find LN.

LN=

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28.

If LN = 63 and LM = 42, find MN.

MN=

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29.

RT = 36.

Find these values.

x=

RS=

ST=

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30.

DF = 9x – 39.

Find these values.

x=

EF=

DF=

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31.

Draw an example of alternate interior angles.

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32.

Draw an example of alternate exterior angles.

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33.

Draw an example of same-side exterior angles.

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34.

Draw an example of same-side interior angles.

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35.

Draw an example of corresponding angles.

Using Parallel LInes to Find the Measures of Angles

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36.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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37.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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38.

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

If m∠6 =142°, find each measure.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

m∠7=

m∠8=

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39.

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

If m∠1 = 65°, find each measure.

m∠2=

m∠3=

m∠4=

m∠5=

m∠6=

m∠7=

m∠8=

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

Given the lines a, b, and c are cut by a transversal and are parallel:

If m∠6 = 73°, find each measure.

m∠1=

m∠2=

m∠3=

m∠4=

m∠5=

m∠7=

m∠8=

m∠9=

m∠10=

m∠11=

m∠12=

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41.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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42.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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43.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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44.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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45.

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

Solve for x

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

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46.

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

Solve for x

x=

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
47.

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

Solve for x

x=

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).

Asemmisa {{asɛmmisaAhyɛnsode}}
48.

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

Solve for x

x=

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).