6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 3/21/2025)

Instructions

Essential Question: How do I identify angle relationships when lines are cut by a transversal?

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

Complete the entire assignment and show work for full credit.

Angles formed by Parallel Lines cut by a Transversal

Required

2

Which is an example of alternate interior angles

G.CO.4

G.CO.9

Required

2

Which is an example of same-side interior angles

G.CO.4

G.CO.9

Required

2

Which is an example of alternate exterior angles

G.CO.4

G.CO.9

Required

2

Which is an example of same-side exterior angles

G.CO.4

G.CO.9

Required

2

Which is an example of corresponding angles

G.CO.4

G.CO.9

Using Parallel Lines To Find The Measures Of Indicated Angles

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 10 and Notes Page 11 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

10

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?
_______ 

What is the reason? (Use Notes Page 8 and Notes Page 9 to help you).
_______ 

G.CO.4

G.CO.9

Required

35

If m∠1 = 57°, find each measure. 

m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠6=_______ 
m∠7=_______ 
m∠8=_______ 

G.CO.4

G.CO.9

Required

35

If m∠6 =142°, find each measure. 

m∠1=_______ 
m∠2=_______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠7=_______ 
m∠8=_______ 

G.CO.4

G.CO.9

Required

60

If m∠12 = 121° and m∠6 = 59°, find each measure. Don't be an NPC, use the degree symbol.

m∠1=_______ 
m∠2= _______ 
m∠3=_______ 
m∠4=_______ 
m∠5=_______ 
m∠7=_______ 
m∠8=_______  
m∠9= _______ 
m∠10=_______  
m∠11=_______ 
m∠13=_______ 
m∠14=_______ 

G.CO.4

G.CO.9

Required

9

G.CO.4

G.CO.9

Required

9

G.CO.4

G.CO.9

Required

9

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are congruent to the angle measure shown.

∠4 = 45° because __________

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are congruent to the angle measure shown.

∠7 = 45° because __________

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are congruent to the angle measure shown.

∠1 = 130° because __________

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are congruent to the angle measure shown.

∠4=130° because __________

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are congruent to the angle measure shown.

∠7=130° because __________

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are supplementary to the angle measure shown.

∠3=50° because __________

G.CO.4

G.CO.9

Required

3

Tell why each of the angles indicated are supplementary to the angle measure shown.

∠6=50° because __________

G.CO.4

G.CO.9

Required

5

Find the indicated angle measures.  Then justify each answer.
m∠1 = 115° because __________

G.CO.4

G.CO.9

Required

5

Find the indicated angle measures.  Then justify each answer.

m∠1 = 96° because __________

G.CO.4

G.CO.9

Required

5

Find the indicated angle measures.

m∠1 = ______°

G.CO.4

G.CO.9

Required

5

Find the indicated angle measures.
Find the indicated angle measures.

m∠1 = ______°

G.CO.4

G.CO.9

Using Algebra to Find the Measures of Angles Formed from Parallel Lines Cut by a Transversal

Required

10

If l ∥ m, then solve for x.

G.CO.4

G.CO.9

Required

10

If l ∥ m, then solve for x.

G.CO.4

G.CO.9

Required

10

If l ∥ m, then solve for x.

G.CO.4

G.CO.9

Required

10

If l ∥ m, then solve for x.

G.CO.4

G.CO.9

Required

10

If l ∥ m, then solve for x.

G.CO.4

G.CO.9

Required

15

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(3x + 4)° = _______ °

(5x – 8)° = _______ °

G.CO.4

G.CO.9

Required

15

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(7x+10)° = _______ °

(15x +16 )° = _______ °

G.CO.4

G.CO.9

Required

15

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(6x+20)° = _______ °

(8x)° = _______ °

G.CO.4

G.CO.9

Required

15

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(4x-13)° = _______ °

(3x+7)° = _______ °

G.CO.4

G.CO.9

6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 3/21/2025)

Angles formed by Parallel Lines cut by a Transversal

Which is an example of alternate interior angles

Which is an example of same-side interior angles

Which is an example of alternate exterior angles

Which is an example of same-side exterior angles

Which is an example of corresponding angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Find the indicated angle measures.

m∠1 = ______°

Find the indicated angle measures.
Find the indicated angle measures.

m∠1 = ______°

Using Algebra to Find the Measures of Angles Formed from Parallel Lines Cut by a Transversal

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

Angles formed by Parallel Lines cut by a Transversal

Which is an example of alternate interior angles

Which is an example of same-side interior angles

Which is an example of alternate exterior angles

Which is an example of same-side exterior angles

Which is an example of corresponding angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Tell which angles are congruent to the given angle measure. Select all that apply.

Tell which angles are congruent to the given angle measure. Select all that apply.

Tell which angles are congruent to the given angle measure. Select all that apply.

Find the indicated angle measures.

m∠1 = ______°

Find the indicated angle measures.
Find the indicated angle measures.

m∠1 = ______°

Using Algebra to Find the Measures of Angles Formed from Parallel Lines Cut by a Transversal

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 3/21/2025)

6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 3/21/2025)

Angles formed by Parallel Lines cut by a Transversal

Which is an example of alternate interior angles

Which is an example of same-side interior angles

Which is an example of alternate exterior angles

Which is an example of same-side exterior angles

Which is an example of corresponding angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Find the indicated angle measures. m∠1 = ______°

Find the indicated angle measures. Find the indicated angle measures. m∠1 = ______°

Using Algebra to Find the Measures of Angles Formed from Parallel Lines Cut by a Transversal

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

Angles formed by Parallel Lines cut by a Transversal

Which is an example of alternate interior angles

Which is an example of same-side interior angles

Which is an example of alternate exterior angles

Which is an example of same-side exterior angles

Which is an example of corresponding angles

Using Parallel Lines To Find The Measures Of Indicated Angles

Tell which angles are congruent to the given angle measure. Select all that apply.

Tell which angles are congruent to the given angle measure. Select all that apply.

Tell which angles are congruent to the given angle measure. Select all that apply.

Find the indicated angle measures. m∠1 = ______°

Find the indicated angle measures. Find the indicated angle measures. m∠1 = ______°

Using Algebra to Find the Measures of Angles Formed from Parallel Lines Cut by a Transversal

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

If l ∥ m, then solve for x.

Find the indicated angle measures.

m∠1 = ______°

Find the indicated angle measures.
Find the indicated angle measures.

m∠1 = ______°

Find the indicated angle measures.

m∠1 = ______°

Find the indicated angle measures.
Find the indicated angle measures.

m∠1 = ______°