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

Last updated 4 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.

Akwankyerɛ

Day 1 (4/8/2)

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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.

Proving Lines are Parallel

Methods to Prove Lines Parallel

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Asemmisa {{asɛmmisaAhyɛnsode}}

1.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠2≅∠4

Which lines are parallel? (If none are then write none)

line || line

What is the reason? (If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠5≅∠10

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

m∠14 + m∠15 = 180°

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

4.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

m∠1 + m∠13 = 180°

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

5.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠1≅∠14

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

6.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠11≅∠16

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠4≅∠15

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

8.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠10≅∠12

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

m∠9 + m∠13 = 180°

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠2≅∠7

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

11.

Given the following information, determine which lines, if any, are parallel. State the converse that justifies your answer. Remember that || means "parallel to".

∠6≅∠11

Which lines are parallel? (If none are then write none)

line || line

(If there is no reason, then write not parallel)

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

Match the example to what type of parallel line proof it represents.

Item 2
Item 1

Corresponding Angles Converse
Alternate Interior Angles Converse
Alternate Exterior Angles Converse
Same-Side Interior Angles Converse
Same-Side Exterior Angles Converse
Not Parallel

Asemmisa {{asɛmmisaAhyɛnsode}}

13.

Find x so that a || b.

null

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

Find x so that a || b.

null

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

Find x so that a || b.

null

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

16.

Find x so that a || b.

null

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

17.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

18.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

19.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

20.

Find x so that a || b.

x=

State the converse used.

Asemmisa {{asɛmmisaAhyɛnsode}}

21.

Find x so that a || b.

x=

State the converse used.