6.2 Angles formed when Lines are Cut by a Transversal (Due 4/28/23)

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.

Day 1 4/17/23

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

6

Name the angle relationship between the two indicated angles in the diagram:

These angles are on__________ side(s) of the transversal and __________ the other two lines. Therefore these angles are __________.

Required

5

Draw an example of alternate interior angles.

Required

5

Draw an example of alternate exterior angles.

Required

5

Draw an example of same-side exterior angles.

Required

5

Draw an example of same-side interior angles.

Required

5

Draw an example of corresponding angles.

Day 2 4/18/23

Review

Required

15

△ABC has coordinates of A(0,4), B(-3,4), and C(-3, -1).  What are the new coordinates of △ABC when the figure is moved 3 units left and 1 unit up?
A'_______ 
B'_______ 
C'_______ 

Required

20

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
M'_______ 
N'_______ 
O'_______ 
P'_______ 

Protip: Transform the points first then graph them.

Rotations

Required

20

Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

S'_______ 
T'_______ 
U'_______ 
V'_______ 

Required

2

Which is an example of alternate interior angles

Required

2

Which is an example of alternate exterior angles

Required

2

Which is an example of same-side exterior angles

Required

2

Which is an example of same-side interior angles

Required

2

Which is an example of corresponding angles

Angles formed by Parallel Lines cut by a Transversal

Required

35

If m∠1 = 65°, find each measure. 



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

Required

35

If m∠6 =142°, find each measure. 



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

Required

60

If m∠12 = 121° and m∠6 = 75°, 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=_______ 

Required

10

If l ∥ m, then solve for x.

Required

10

If l ∥ m, then solve for x.

Required

10

If l ∥ m, then solve for x.

Required

10

If l ∥ m, then solve for x.

Required

10

If l ∥ m, then solve for x.

Day 3 4/21/23

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

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 10 to help you).
_______ 

Proving Lines Parallel

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Required

10

Are the lines u and v parallel? _______ 

What is the reason? If they are not parallel write "not parallel". (Use Notes Page 11 to help you).
_______ 

Day 4 4/26/23

Required

9

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

Required

9

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

Required

9

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

Required

3

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

∠4=45° because __________

Required

3

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

∠7=45° because __________

Required

3

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

∠1=130° because __________

Required

3

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

∠4=130° because __________

Required

3

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

∠7=130° because __________

Required

3

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

∠3=50° because __________

Required

3

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

∠6=50° because __________

Required

5

Find the indicated angle measures.

m∠1 = ______°

Required

5

Find the indicated angle measures.  Then justify each answer.

m∠1 = 115° because __________

Required

5

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

m∠1 = ______°

Required

5

Find the indicated angle measures.  Then justify each answer.

m∠1 = 96° because __________

Required

10

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(3x + 4)° = _______ °

(5x – 8)° = _______ °

Required

10

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(7x+10)° = _______ °

(15x +16 )° = _______ °

Required

10

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(6x+20)° = _______ °

(8x)° = _______ °

Required

10

Find the value of x.

x=_______ 

Then, find the measure of each labeled angle.

(4x-13)° = _______ °

(3x+7)° = _______ °

6.2 Angles formed when Lines are Cut by a Transversal (Due 4/28/23)

Day 1 4/17/23

Draw an example of alternate interior angles.

Draw an example of alternate exterior angles.

Draw an example of same-side exterior angles.

Draw an example of same-side interior angles.

Draw an example of corresponding angles.

Day 2 4/18/23

Review

Rotations

Which is an example of alternate interior angles

Which is an example of alternate exterior angles

Which is an example of same-side exterior angles

Which is an example of same-side interior angles

Which is an example of corresponding angles

Angles formed by 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.

Day 3 4/21/23

Using Parallel Lines To Find The Measures Of Indicated Angles

Proving Lines Parallel

Day 4 4/26/23

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 = ______°

Day 1 4/17/23

Draw an example of alternate interior angles.

Draw an example of alternate exterior angles.

Draw an example of same-side exterior angles.

Draw an example of same-side interior angles.

Draw an example of corresponding angles.

Day 2 4/18/23

Review

Rotations

Which is an example of alternate interior angles

Which is an example of alternate exterior angles

Which is an example of same-side exterior angles

Which is an example of same-side interior angles

Which is an example of corresponding angles

Angles formed by 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.

Day 3 4/21/23

Using Parallel Lines To Find The Measures Of Indicated Angles

Proving Lines Parallel

Day 4 4/26/23

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 = ______°

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 = ______°