Lesson 3-3 Day Two Proving Lines Parallel

Posljednje ažuriranje over 4 years ago

Lesson 3-3 Day Two Proving Lines Parallel

Posljednje ažuriranje over 4 years ago

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

Are the lines parallel? Why or Why Not?

Yes because Corresponding Angles are congruent

No because Same-Side Interior Angles are not congruent

No because corresponding angles are not congruent

No because Alternate Interior Angles are not congruent

Are the lines parallel? Why or Why Not?

Yes because Consecutive Interior Angles are supplementary

Yes because Alternate Interior Angles are congruent

Yes because Alternate Exterior Angles are congruent

Yes because Consecutive Interior Angles are congruent

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

because the corresponding angles are congruent

because Same-Side Interior angles are congruent

because the Corresponding Angles are congruent

because the Same-Side Interior Angles are congruent

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

because the Alternate Interior Angles are congruent

because the Alternate Exterior Angles are congruent

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

because of the Consecutive Interior Angles Converse Theorem

because of the Alternate Interior Angles Converse Theorem

because of the Corresponding Angles Converse Postulate

because of the Alternate Interior Angles Converse Theorem

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

because of the Corresponding Angles Converse Postulate

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

because of the Consecutive Interior Angles Converse Theorem

because of the Alternate Interior Angles Converse Theorem

because of the Same-Side Interior Angles Theorem

because of the Alternate Interior Angles Converse Theorem

Not all "Reasons" need to be used:

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

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

x = 30 because of the Converse of the Alternate Interior Angles Theorem

x = 30 because of the Corresponding Angles Postulate

x = 30 because of the Converse of the Same-Side Interior Angles Theorem

x = 30 because of the Converse of the Corresponding Angles Postulate

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

x = 33 because of the Converse of the Corresponding Angles Postulate

x = 33 because of the Converse of the Consecutive Interior Angles Theorem

x = 33 because of the Converse of the Alternate Exterior Angles Theorem

x = 33 because of the Converse of the Alternate Interior Angles Theorem

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

then

because of the Converse of the Corresponding Angles Postulate

If angle 6 is supplementary to angle 7 then

because of the Converse of the Consecutive Interior Angles Theorem

then

because of the Converse of the Alternate Exterior Angles Theorem

then

because of the Converse of the Corresponding Angles Postulate

If angle 2 is supplementary to angle 3, then

because of the Converse of the Consecutive Interior Angles Theorem

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

then "l" is parallel to "m" because of the Converse of the Alternate Interior Angles Theorem.

then NO CONCLUSION can be made.

then "a" is parallel to "b" because of the Converse of the Corresponding Angles Postulate.

If the measure of angle 7 = 65 degrees and the measure of angle 9 = 115 degrees, then NO CONCLUSION can be made.

then "a" is parallel to "b" because of the Converse of the Alternate Interior Angles Theorem.

then NO CONCLUSION can be made.

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

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

Tačno

Netačno

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

Tačno

Netačno

Lesson 3-3 Day Two Proving Lines Parallel

Lesson 3-3 Day Two Proving Lines Parallel

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.

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:

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: