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8.5 Proving Lines are Parallel (Due 4/13/22)

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Last updated about 1 year ago
22 questions
Note from the author:
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.
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.
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Day 1 (4/11/22)

Concept Review

Question 1
1.

Write the geometric formula for this geometric sequence:

Methods to Prove Lines Parallel


Question 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".

∠2≅∠4

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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".

∠5≅∠10

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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?
line _______ || line _______

What is the reason?
_______
Question 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?
line _______ || line _______

What is the reason?
_______
Question 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".

m∠14 + m∠15 = 180°

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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".

∠11≅∠16

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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".

∠4≅∠15

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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".

∠10≅∠12

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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".

m∠9 + m∠13 = 180°

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 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".

∠2≅∠7

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Question 12
12.
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?
line _______ || line _______

What is the reason?
_______

Day 2 (4/12/22)

Proving Lines are Parallel

Question 13
13.

Match the image 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
Question 14
14.
Find x so that a || b.


x=_______

State the converse used.
_______
Question 15
15.
Find x so that a || b.



x=_______

State the converse used.
_______
Question 16
16.
Find x so that a || b.


x=_______

State the converse used.
_______
Question 17
17.
Find x so that a || b.


x=_______

State the converse used.
_______
Question 18
18.
Find x so that a || b.
x=_______

State the converse used.
_______


Question 19
19.
Find x so that a || b.
x=_______

State the converse used.
_______


Question 20
20.
Find x so that a || b.
x=_______

State the converse used.
_______

Question 21
21.
Find x so that a || b.
x=_______

State the converse used.
_______


Question 22
22.
Find x so that a || b.
x=_______

State the converse used.
_______