Copy of 6.9 Proving Lines are Parallel (Due 4/11/2024) (7/21/2024)

Last updated 10 months ago

21 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.

Instructions

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.

Required

Copy of 6.9 Proving Lines are Parallel (Due 4/11/2024) (7/21/2024)

Last updated 10 months ago

21 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.

Instructions

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 do I proof lines are parallel?

Learning Target: Students will be able to proof lines are parallel using angle relationships when lines are cut by a transversal.

Complete the entire assignment and show work for full credit.

Proving Lines are Parallel

Methods to Prove Lines Parallel

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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)
_______ 

Required

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

Required

Find x so that a || b. 

x=_______ 

State the converse used.
_______

Required

Find x so that a || b. 

x=_______ 

State the converse used.
_______

Required

Find x so that a || b. 

x=_______ 

State the converse used.
_______

Required

Find x so that a || b. 

x=_______ 

State the converse used.
_______

Required

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

State the converse used.
_______ 

Required

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

State the converse used.
_______ 

Required

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

State the converse used.
_______ 

Required

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

State the converse used.
_______ 

Required

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

State the converse used.
_______ 