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Copy of 8.5 Proving Lines are Parallel (Due 4/13/22) (7/21/2024)

Last updated 8 months 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.

Day 1 (4/11/22)

Concept Review

Required
10

Write the geometric formula for this geometric sequence:

Methods to Prove Lines Parallel


Required
6
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?
_______
Required
6
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?
_______
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∠1 + m∠13 = 180°

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Required
6
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?
_______
Required
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?
_______
Required
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?
line _______ || line _______

What is the reason?
_______
Required
6
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?
_______
Required
6
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?
_______
Required
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∠9 + m∠13 = 180°

Which lines are parallel?
line _______ || line _______

What is the reason?
_______
Required
6
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?
_______
Required
6
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

Required
20

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

  • Item 1
  • Item 2
  • Corresponding Angles Converse
  • Alternate Interior Angles Converse
  • Alternate Exterior Angles Converse
  • Same-Side Interior Angles Converse
  • Same-Side Exterior Angles Converse
  • Not Parallel
Required
10
Find x so that a || b.


x=_______

State the converse used.
_______
Required
10
Find x so that a || b.



x=_______

State the converse used.
_______
Required
10
Find x so that a || b.


x=_______

State the converse used.
_______
Required
10
Find x so that a || b.


x=_______

State the converse used.
_______
Required
10
Find x so that a || b.
x=_______

State the converse used.
_______


Required
10
Find x so that a || b.
x=_______

State the converse used.
_______


Required
10
Find x so that a || b.
x=_______

State the converse used.
_______

Required
10
Find x so that a || b.
x=_______

State the converse used.
_______


Required
10
Find x so that a || b.
x=_______

State the converse used.
_______