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IM 1 SS23 Day 7: Parallel Lines (Due 6/28/2023)

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Main Idea: Geometry Basics

Question 1
1.

Watch the video and complete the notes of this section.

Question 2
2.

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

Draggable itemarrow_right_altCorresponding Item
Any two angles whose sum is 180°
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Vertical angles
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Supplementary angles
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Question 3
3.

Select all the adjacent angles to ∠1

Question 4
4.

Select all the vertical angles to ∠6

Question 5
5.

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

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
Vertical angles
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Question 6
6.

What is the value of x?



Question 7
7.

What is the value of x?




Question 8
8.
What are the values of x, y, and z?














x°=_______
y°=_______
z°=_______
Question 9
9.
What is the values of x, y, and z?


x°=_______
y°=_______
z°=_______
Question 10
10.

If m∠PQT =109° and m∠SQR = (4x – 15)°, find the value of x.

Question 11
11.

If m∠PQT =109° what is the measure of m∠TQR?

Question 12
12.

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


  1. Make 3x+47 equal to 6x-25; because vertical angles are equal
  2. x=24
  3. 6(24)-25=119; therefore the m∠SQR=119°
  4. Subtract 3x from both sides of the equation
  5. Divide both sides of the equation by 3
Question 13
13.

What is the m∠SQR=?

Question 14
14.

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

Question 15
15.

Use the answer from the previous problem to find the measure of ∠GEF.

Question 16
16.

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

Main Idea: Parallel Lines Cut by a Transversal

Question 17
17.

Watch the video and complete the notes of this section.

Question 18
18.

Each of the examples below are parallel lines cut by a transversal.
Which of these is an example of alternate interior angles?

Question 19
19.

Each of the examples below are parallel lines cut by a transversal.
Which of these is an example of corresponding angles?

Question 20
20.

Each of the examples below are parallel lines cut by a transversal.
Which of these is an example of alternate exterior angles?

Question 21
21.

Each of the examples below are parallel lines cut by a transversal.
Which of these is an example of same-side interior angles?

Question 22
22.

Watch the video and complete the notes of this section.

Question 23
23.

Match the types of angle pairs with their relationship to each other.

  • alternate interior angles
  • same-side exterior
  • alternate exterior angles
  • corresponding angles
  • same-side interior angles
  • Add up to 180 degrees (supplimentary)
Question 24
24.

Question 25
25.

Question 26
26.
The example below is parallel lines cut by a transversal.
What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 27
27.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 28
28.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 29
29.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 30
30.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 31
31.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 32
32.
The example below is parallel lines cut by a transversal.
What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 33
33.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 34
34.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 35
35.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 36
36.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 37
37.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 38
38.
The example below is parallel lines cut by a transversal.

What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 39
39.
The example below is parallel lines cut by a transversal.
What kind of angles are these?
_______

Are these angles congruent or supplementary?
_______
Question 40
40.

Find the measure of the indicated angle. Make sure to show your work.

Question 41
41.

Find the measure of the indicated angle. Make sure to show your work.

Question 42
42.

Find the measure of the indicated angle. Make sure to show your work.

Question 43
43.

Find the measure of the indicated angle. Make sure to show your work.

Question 44
44.

Find the measure of the indicated angle. Make sure to show your work.

Main Idea: Parallel Lines Cut by a Transversal (with Algebra)

Question 45
45.

Watch the video and complete the notes of this section.

Question 46
46.

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. x=18
  2. Identify these angles as alternate interior angles therefore they are congruent
  3. Divide both sides of the equation by 7
  4. Add 1 to both sides of the equation
  5. Create the equation 7x-1=125
Question 47
47.

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


Question 48
48.

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. Subtract 135 from both sides of the equation
  2. Divide both sides of the equation by 9
  3. x=5
  4. Combined like terms to get 9x+135=180
Question 49
49.

Directions: If l || m, solve for x.

Question 50
50.

Solve for x. Make sure to show your work.

Question 51
51.

Solve for x. Make sure to show your work.

Question 52
52.

Solve for x. Make sure to show your work.

Question 53
53.

Directions: If l || m, solve for x.


Question 54
54.

Solve for x. Make sure to show your work.

Question 55
55.

Solve for x. Make sure to show your work.

Question 56
56.
Directions: If l || m, solve for x and y.


x=_______
y=_______
Question 57
57.
Directions: If l || m, solve for x and y.

x=_______
y=_______
Two angles that share a vertex and
a common side. They are next to each other
Two angles that are
adjacent and supplementary.
They form astraight line!
Complementary angles
Two angles across from each other on
intersecting lines. They share a vertex and they are always congruent!
Linear pairs
Any two angles whose sum is 90°
Adjacent Angles
Supplementary angles
Complementary angles
Linear pairs
Adjacent Angles
Add 25 to both sides of the equation
Substitute 24 for x into 6x-25 to find out what the m∠SQR equals
Congruent
Each of the examples below are parallel lines cut by a transversal.
Which of these pairs of angles are congruent?
Each of the examples below are parallel lines cut by a transversal.
Which of these pairs of angles are supplementary?
Determine what the angle relationship is between these angles.
Determine what the angle relationship is between these angles.
Create the equation 9x+2+133=180
Identify these angles as same-side interior angles therefore they are supplementary