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.
Write the geometric formula for this geometric sequence:
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
What is the reason?
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
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
Find x so that a || b.
x=
State the converse used.
