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Unit 8 Review (Due 5/10/22)

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41 questions
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Day 1 5/13/22

Using Angle Relationships to find Angle Measures

Question 1
1.

Draw an example of supplementary angles.

Question 2
2.

Draw an example of vertical angles.

Question 3
3.

Match the image with the angle relationship it describes...

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
Vertical angles
arrow_right_alt
Supplementary angles
arrow_right_alt
Complementary angles
arrow_right_alt
Linear pairs
arrow_right_alt
Adjacent Angles
Question 4
4.
What are the values of x, y and z?

x=_______
y=_______
z=_______

Angles Formed by Parallel Lines

Question 5
5.

Which of these is an example of corresponding angles?

Question 6
6.

Which of these is an example of alternate interior angles?

Question 7
7.

Which of these pairs of angles are congruent?

Question 8
8.

What kind of angles are these?
_______

What is the relationship between these angles? Are they congruent, supplementary, complementary, or no relationship?
_______
Question 9
9.
What kind of angles are these?
_______

What is the relationship between these angles? Are they congruent, supplementary, complementary, or no relationship?
_______
Question 10
10.

What kind of angles are these?
_______

What is the relationship between these angles? Are they congruent, supplementary, complementary, or no relationship?
_______
Question 11
11.

What kind of angles are these?
_______

What is the relationship between these angles? Are they congruent, supplementary, complementary, or no relationship?
_______
Question 12
12.

What is the correct order of steps to solve this problem:

If l m, classify the marked angle pair and give their relationship, then solve for x.


  1. Add 1 to both sides of the equation
  2. Divide both sides of the equation by 7
  3. Determine what the angle relationship is between these angles.
  4. Identify these angles as alternate interior angles therefore they are congruent
  5. Create the equation 7x-1=125
  6. x=18
Question 13
13.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.


Question 14
14.

What is the correct order of steps to solve this problem:

If l m, classify the marked angle pair and give their relationship, then solve for x.



  1. Identify these angles as corresponding angles therefore they are congruent
  2. x=12
  3. Create the equation 5x-2=58
  4. Add 2 to both sides of the equation
  5. Divide both sides of the equation by 5
  6. Determine what the angle relationship is between these angles.
Question 15
15.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.

Question 16
16.

What is the correct order of steps to solve this problem:

If l m, classify the marked angle pair and give their relationship, then solve for x.




  1. Create the equation 9x+2+133=180
  2. Identify these angles as same-side interior angles therefore they are supplementary
  3. Divide both sides of the equation by 9
  4. Subtract 135 from both sides of the equation
  5. Determine what the angle relationship is between these angles.
  6. Combined like terms to get 9x+135=180
  7. x=5
Question 17
17.

Directions: If l m, classify the marked angle pair and give their relationship, then solve for x.

Question 18
18.
Directions: If l m, classify the marked angle pair and give their relationship, then solve for x and y.


x=_______
y=_______

Proving Lines are Parallel

Question 19
19.
Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠2≅∠4

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 20
20.
Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠5≅∠10

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 21
21.
Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

m∠1 + m∠13 = 180°

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 22
22.
Find x so that a || b.


x=_______

State the converse used.
_______
Question 23
23.
Find x so that a || b.
x=_______

State the converse used.
_______


Day 2 5/9/22

Intro to Triangles

Question 24
24.

Find each missing measure.

Question 25
25.
Find the measures of the indicated angles:


m∠1=_______
m∠2=_______
m∠3=_______
m∠4=_______
Question 26
26.

Find the value of x.

Classifying Triangles

Question 27
27.
Classify this triangle by its angles and sides.

Angle:
This is a _______ triangle

Sides:
This is a _______ triangle

Question 28
28.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______




Question 29
29.
Classify this triangle by its angles and sides.

By its angles:
_______

By its sides:
_______


Question 30
30.
If △RST is an equilateral triangle, find x and the measure of each side

x=_______

Each Side Length=_______
Question 31
31.

Given the isosceles triangle, solve for b.

Question 32
32.
Find the value of x and y.

x= _______
y= _______
Question 33
33.

Find the value of ∠A .

∠A=

Congruent Triangles

Question 34
34.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason. If not state N/A.
_______
Question 35
35.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state N/A.
_______
Question 36
36.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state N/A.
_______
Question 37
37.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state N/A.
_______
Question 38
38.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?
_______

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state N/A.
_______
Question 39
39.
State whether the triangles can be proven congruent, if possible, by SSS or SAS, ASA, AAS, or HL.

Are they congruent?_______

If they are congruent, state the reason: SSS, SAS, ASA, AAS, or HL. If not state N/A.
_______
Question 40
40.
Given △MTW ≅△BGK, find the missing values.


x=_______
m∠B=_______
y=_______
m∠T=_______
Question 41
41.
Given △UVW ≅ △TSR, find the values of x, y, and z

x=_______
y=_______
z=_______