Lesson 3-3 Day Two Proving Lines Parallel

7

Match the Statements with the appropriate Reasons:

Definition of supplementary angles
Linear Pair Postulate
Given
Corresponding Angles Postulate
Definition of congruent angles
Definition of supplementary angles
Definition of Linear Pair
Substitution Property of Equality

1

Are the lines parallel? Why or Why Not?

1

Are the lines parallel? Why or Why Not?

1

Which lines/segments are parallel?
How do you know?

1

Which lines/segments are parallel?
How do you know?

1

Which lines/segments are parallel?
How do you know?

1

Which lines/segements are parallel?
How do you know?

1

Which lines are parallel if angle 2 is congruent to angle 3?
Justify your answer:

4

Not all "Reasons" need to be used:

Consecutive Interior Angles CONVERSE Theorem
Consecutive Interior Angles Theorem
Given
Definition of supplementary angles

1

Find the value of x for which line "l" is parallel to line "m".
State which theorem/postulate allows you to say this.

1

Find the value of x for which line "r" is parallel to line "s".
State which theorem/postulate allows you to say this.

5

Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
SELECT ALL THAT APPLY:

5

Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
SELECT ALL THAT APPLY:

6

Drag the appropriate Statement to the Reason given:
The Reasons on the left are in the correct order.
You drag the Reason in the left column to the appropriate Statement on the right:

Given
Definition of Linear Pair
Linear Pair Postulate
Definition of Supplementary Angles
Congruent Supplements Theorem
Converse of the Corresponding Angles Postulate

2

The ONLY time that you would use the CONVERSE theorems is when you are trying to SHOW that the lines are parallel.

2

Match the Statements with the appropriate Reasons:

Are the lines parallel? Why or Why Not?

Are the lines parallel? Why or Why Not?

Which lines/segments are parallel?How do you know?

Which lines/segments are parallel?How do you know?

Which lines/segments are parallel?How do you know?

Which lines/segements are parallel?How do you know?

Which lines are parallel if angle 2 is congruent to angle 3?Justify your answer:

Not all "Reasons" need to be used:

Find the value of x for which line "l" is parallel to line "m".State which theorem/postulate allows you to say this.

Find the value of x for which line "r" is parallel to line "s".State which theorem/postulate allows you to say this.

Use the given information to determine which lines, if any, are parallel.Justify each conclusion with a theorem or postulate.SELECT ALL THAT APPLY:

Use the given information to determine which lines, if any, are parallel.Justify each conclusion with a theorem or postulate.SELECT ALL THAT APPLY:

Drag the appropriate Statement to the Reason given:The Reasons on the left are in the correct order.You drag the Reason in the left column to the appropriate Statement on the right:

The ONLY time that you would use the CONVERSE theorems is when you are trying to SHOW that the lines are parallel.

If the problem already states that the lines are parallel, then you would NOT use the Converse Theorems.

Which lines/segments are parallel?
How do you know?

Which lines/segments are parallel?
How do you know?

Which lines/segments are parallel?
How do you know?

Which lines/segements are parallel?
How do you know?

Which lines are parallel if angle 2 is congruent to angle 3?
Justify your answer:

Find the value of x for which line "l" is parallel to line "m".
State which theorem/postulate allows you to say this.

Find the value of x for which line "r" is parallel to line "s".
State which theorem/postulate allows you to say this.

Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
SELECT ALL THAT APPLY:

Use the given information to determine which lines, if any, are parallel.
Justify each conclusion with a theorem or postulate.
SELECT ALL THAT APPLY:

Drag the appropriate Statement to the Reason given:
The Reasons on the left are in the correct order.
You drag the Reason in the left column to the appropriate Statement on the right: