Copy of Copy of 6.6 Proving Lines are Parallel (Due 4/9/2024) (4/10/2024) (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 Copy of 6.6 Proving Lines are Parallel (Due 4/9/2024) (4/10/2024) (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.

Day 1 (4/8/2)

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 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

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.
_______ 