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Laabri

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

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Last updated 4 months ago
57 Nsɛmmisa

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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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Watch the video and complete the notes of this section.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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 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°

arrow_right_alt

Adjacent Angles

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Select all the adjacent angles to ∠1

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Select all the vertical angles to ∠6

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

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

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

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

What is the value of x?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

x°=

y°=

z°=

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

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

x°=

y°=

z°=

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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

  1. Add 25 to both sides of the equation

  2. Subtract 3x from both sides of the equation

  3. Divide both sides of the equation by 3

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

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

  6. x=24

  7. 6(24)-25=119; therefore the m∠SQR=119°

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

What is the m∠SQR=?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Watch the video and complete the notes of this section.

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

Which of these is an example of alternate interior angles?

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

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

Which of these is an example of corresponding angles?

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

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

Which of these is an example of alternate exterior angles?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

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

Which of these is an example of same-side interior angles?

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Watch the video and complete the notes of this section.

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

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

  • same-side interior angles

  • same-side exterior

  • alternate interior angles

  • alternate exterior angles

  • corresponding angles

  • Add up to 180 degrees (supplimentary)

  • Congruent

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

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

Which of these pairs of angles are congruent?

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

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

Which of these pairs of angles are supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
30.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
31.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
32.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
33.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
37.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
38.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
39.

The example below is parallel lines cut by a transversal.

What kind of angles are these?

Are these angles congruent or supplementary?

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
41.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
42.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
43.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
44.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
45.

Watch the video and complete the notes of this section.

Asemmisa {{asɛmmisaAhyɛnsode}}
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. Divide both sides of the equation by 7

  3. Create the equation 7x-1=125

  4. Add 1 to both sides of the equation

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

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

Asemmisa {{asɛmmisaAhyɛnsode}}
47.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
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. Determine what the angle relationship is between these angles.

  2. Subtract 135 from both sides of the equation

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

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

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

  6. Divide both sides of the equation by 9

  7. x=5

Asemmisa {{asɛmmisaAhyɛnsode}}
49.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
50.

Solve for x. Make sure to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
51.

Solve for x. Make sure to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
52.

Solve for x. Make sure to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
53.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
54.

Solve for x. Make sure to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
55.

Solve for x. Make sure to show your work.

Asemmisa {{asɛmmisaAhyɛnsode}}
56.

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

x=

y=

Asemmisa {{asɛmmisaAhyɛnsode}}
57.

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

x=

y=