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Laabri

6.6 Proving Lines are Parallel (Due 4/9/2024)

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Last updated 5 months ago
21 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Essential Question: How can you prove that two lines are parallel?

Learning Target: Students will be able to prove lines are parallel by analyzing and comparing the angles formed by a transversal.

Comlete the entire assignment and show all work for credit.

Angles Formed by Parallels Cut by a Transversal

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21
Ɛhia
6
Ɛhia
20
Ɛhia
3
Ɛhia
3
Ɛhia
3
Ɛhia
3
Ɛhia
12
Ɛhia
12
Ɛhia
16
Ɛhia
28
Ɛhia
28
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10
Ɛhia
10

Essential Question: How can you prove that two lines are parallel?

Learning Target: Students will be able to prove lines are parallel by analyzing and comparing the angles formed by a transversal.

Comlete the entire assignment and show all work for credit.

Key points about parallel lines cut by a transversal (These are your reasons):

Alternate Interior Angles are congruent

Alternate Exterior Angles are congruent

Corresponding Angles are congruent

Same-Side Interior Angles are supplementary

Same-Side Exterior Angles are supplementary

Also

Linear pairs of angles are supplementary

Vertical angles are congruent

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Match the angle pairs with their relationship.

equal 180 together

are the same size

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Given the following information, a||b and c||d and ∠2 = 67°.

∠4= What is the reason?

∠3= What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Match the example to what type of angle pair it represents.

  • Item 2

  • Item 1

  • Corresponding Angles

  • Alternate Interior Angles

  • Alternate Exterior Angles

  • Same-Side Interior Angles

  • Same-Side Exterior Angles

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

In the figure below, line  n  is a transversal cutting lines  l  and  m.

Name the angle that is the alternate interior pair to ∠3.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

In the figure below, line  n  is a transversal cutting lines  l  and  m.

Name the angle that is the same-side interior pair to ∠6.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

In the figure below, line  n  is a transversal cutting lines  l  and  m.

Name the angle that is the same-side exterior pair to ∠1.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

In the figure below, line  n  is a transversal cutting lines  l  and  m.

Name the angle that is the corresponding to ∠4.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

In the figure below, line  n  is a transversal cutting lines  l  and  m. Line m || Line l

Name all the angles that are congruent to ∠4 not including ∠4.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

In the figure below, line  n  is a transversal cutting lines  l  and  m. Line m || Line l

Name all the angles that are congruent to ∠3 not including ∠3.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

In the figure below, line  n  is a transversal cutting lines  l  and  m. Line m || Line l

Name all the angles that are supplemental to ∠3.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

In the figure below, line L₁, line L₂, line L₃, and line L₄, are parallel.

Name all the angles that are supplemental to ∠a.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

In the figure below, line L₁, line L₂, line L₃, and line L₄, are parallel.

Name all the angles that are congruent to ∠e.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Find x so given that a || b.

x=

What is the reason?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Find x so given that a || b.

x=

What is the reason?