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Biblioteka

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

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Posljednje ažuriranje 3 months ago
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Main Idea: Geometry Basics

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Main Idea: Parallel Lines Cut by a Transversal

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

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Pitanje 1
1.

Watch the video and complete the notes of this section.

Pitanje 2
2.

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

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

Two angles that are

adjacent and supplementary.

They form astraight line!

arrow_right_alt

Vertical angles

Two angles that share a vertex and

a common side. They are next to each other

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

Any two angles whose sum is 180°

arrow_right_alt

Linear pairs

Any two angles whose sum is 90°

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Adjacent Angles

Pitanje 3
3.

Select all the adjacent angles to ∠1

Pitanje 4
4.

Select all the vertical angles to ∠6

Pitanje 5
5.

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

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

arrow_right_alt

Vertical angles

arrow_right_alt

Supplementary angles

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Complementary angles

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Linear pairs

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Adjacent Angles

Pitanje 6
6.

What is the value of x?

Pitanje 7
7.

What is the value of x?

Pitanje 8
8.
Pitanje 9
9.
Pitanje 10
10.

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

Pitanje 11
11.

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

Pitanje 12
12.

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

  1. 6(24)-25=119; therefore the m∠SQR=119°

  2. Add 25 to both sides of the equation

  3. Substitute 24 for x into 6x-25 to find out what the m∠SQR equals

  4. Subtract 3x from both sides of the equation

  5. x=24

  6. Divide both sides of the equation by 3

  7. Make 3x+47 equal to 6x-25; because vertical angles are equal

Pitanje 13
13.

What is the m∠SQR=?

Pitanje 14
14.

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

Pitanje 15
15.

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

Pitanje 16
16.

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

Pitanje 17
17.

Watch the video and complete the notes of this section.

Pitanje 18
18.

Each of the examples below are parallel lines cut by a transversal.

Which of these is an example of alternate interior angles?

Pitanje 19
19.

Each of the examples below are parallel lines cut by a transversal.

Which of these is an example of corresponding angles?

Pitanje 20
20.

Each of the examples below are parallel lines cut by a transversal.

Which of these is an example of alternate exterior angles?

Pitanje 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?

Pitanje 22
22.

Watch the video and complete the notes of this section.

Pitanje 23
23.

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

  • alternate exterior angles

  • corresponding angles

  • alternate interior angles

  • same-side exterior

  • same-side interior angles

  • Add up to 180 degrees (supplimentary)

  • Congruent

Pitanje 24
24.

Each of the examples below are parallel lines cut by a transversal.

Which of these pairs of angles are congruent?

Pitanje 25
25.

Each of the examples below are parallel lines cut by a transversal.

Which of these pairs of angles are supplementary?

Pitanje 26
26.
Pitanje 27
27.
Pitanje 28
28.
Pitanje 29
29.
Pitanje 30
30.
Pitanje 31
31.
Pitanje 32
32.
Pitanje 33
33.
Pitanje 34
34.
Pitanje 35
35.
Pitanje 36
36.
Pitanje 37
37.
Pitanje 38
38.
Pitanje 39
39.
Pitanje 40
40.

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

Pitanje 41
41.

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

Pitanje 42
42.

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

Pitanje 43
43.

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

Pitanje 44
44.

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

Pitanje 45
45.

Watch the video and complete the notes of this section.

Pitanje 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. Identify these angles as alternate interior angles therefore they are congruent

  2. Add 1 to both sides of the equation

  3. Determine what the angle relationship is between these angles.

  4. Divide both sides of the equation by 7

  5. Create the equation 7x-1=125

  6. x=18

Pitanje 47
47.

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

Pitanje 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. Create the equation 9x+2+133=180

  2. Subtract 135 from both sides of the equation

  3. Determine what the angle relationship is between these angles.

  4. Combined like terms to get 9x+135=180

  5. Identify these angles as same-side interior angles therefore they are supplementary

  6. Divide both sides of the equation by 9

  7. x=5

Pitanje 49
49.

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

Pitanje 50
50.

Solve for x. Make sure to show your work.

Pitanje 51
51.

Solve for x. Make sure to show your work.

Pitanje 52
52.

Solve for x. Make sure to show your work.

Pitanje 53
53.

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

Pitanje 54
54.

Solve for x. Make sure to show your work.

Pitanje 55
55.

Solve for x. Make sure to show your work.

Pitanje 56
56.
Pitanje 57
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