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

Posljednje ažuriranje 4 months ago

21

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.

Instrukcije

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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Pitanje 1

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)

Pitanje 2

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)

Pitanje 3

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)

Pitanje 4

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)

Pitanje 5

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)

Pitanje 6

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)

Pitanje 7

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)

Pitanje 8

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)

Pitanje 9

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)

Pitanje 10

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)

Pitanje 11

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)

Pitanje 12

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

Pitanje 13

13.

Find x so that a || b.

null

x=

State the converse used.

Pitanje 14

14.

Find x so that a || b.

null

x=

State the converse used.

Pitanje 15

15.

Find x so that a || b.

null

x=

State the converse used.

Pitanje 16

16.

Find x so that a || b.

null

x=

State the converse used.

Pitanje 17

17.

Find x so that a || b.

x=

State the converse used.

Pitanje 18

18.

Find x so that a || b.

x=

State the converse used.

Pitanje 19

19.

Find x so that a || b.

x=

State the converse used.

Pitanje 20

20.

Find x so that a || b.

x=

State the converse used.

Pitanje 21

21.

Find x so that a || b.

x=

State the converse used.