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Laabri

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

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Last updated 3 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!

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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!

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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

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3.

Select all the adjacent angles to ∠1

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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?

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7.

What is the value of x?

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8.
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9.
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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. x=24

  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. Divide both sides of the equation by 3

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

  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 exterior

  • same-side interior angles

  • 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?

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39.
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40.

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

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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. Determine what the angle relationship is between these angles.

  2. Create the equation 7x-1=125

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

  4. x=18

  5. Divide both sides of the equation by 7

  6. Add 1 to both sides of the equation

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

  2. Subtract 135 from both sides of the equation

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

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

  5. x=5

  6. Divide both sides of the equation by 9

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

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.

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