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Biblioteka

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

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Posljednje ažuriranje 3 months ago
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Napomena autora:

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

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

Pitanje 1
1.

Match the angle pairs with their relationship.

equal 180 together

are the same size

Pitanje 2
2.
Pitanje 3
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

Pitanje 4
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.

Pitanje 5
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.

Pitanje 6
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.

Pitanje 7
7.

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

Name the angle that is the corresponding to ∠4.

Pitanje 8
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.

Pitanje 9
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.

Pitanje 10
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.

Pitanje 11
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.

Pitanje 12
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.

Pitanje 13
13.
Pitanje 14
14.
Pitanje 15
15.
Pitanje 16
16.
Pitanje 17
17.
Pitanje 18
18.
Pitanje 19
19.
Pitanje 20
20.
Pitanje 21
21.