6.5 Angles Formed When Parallel Lines are Cut by a Transversal (Due 3/21/2025)
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Last updated 8 months ago
40 questions
Note from the author:
The students will learn to identify angles formed when parallel lines area cut by a transversal. Then they will use angle relationships to construct equations and solve them, so they can find all the missing angles and values. They will need to know the 5 angle theorems. They will also need to know how to use vertical and supplemental angles.
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 points
2
Question 1
1.
Which is an example of alternate interior angles
Required
2 points
2
Question 2
2.
Which is an example of same-side interior angles
Required
2 points
2
Question 3
3.
Which is an example of alternate exterior angles
Required
2 points
2
Question 4
4.
Which is an example of same-side exterior angles
Required
2 points
2
Question 5
5.
Which is an example of corresponding angles
Using Parallel Lines To Find The Measures Of Indicated Angles
Required
10 points
10
Question 6
6.
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).
_______
Required
10 points
10
Question 7
7.
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).
_______
Required
10 points
10
Question 8
8.
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).
_______
Required
10 points
10
Question 9
9.
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).
_______
Required
10 points
10
Question 10
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).
_______
Required
10 points
10
Question 11
11.
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).
_______
Required
10 points
10
Question 12
12.
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).
_______
Required
10 points
10
Question 13
13.
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).
_______
Required
10 points
10
Question 14
14.
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).
_______
Required
35 points
35
Question 15
15.
If m∠1 = 57°, find each measure.
m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠6=_______
m∠7=_______
m∠8=_______
Required
35 points
35
Question 16
16.
If m∠6 =142°, find each measure.
m∠1=_______
m∠2=_______
m∠3=_______
m∠4=_______
m∠5=_______
m∠7=_______
m∠8=_______
Required
60 points
60
Question 17
17.
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=_______
Required
9 points
9
Question 18
18.
Tell which angles are congruent to the given angle measure. Select all that apply.
Required
9 points
9
Question 19
19.
Tell which angles are congruent to the given angle measure. Select all that apply.
Required
9 points
9
Question 20
20.
Tell which angles are congruent to the given angle measure. Select all that apply.
Required
3 points
3
Question 21
21.
Tell why each of the angles indicated are congruent to the angle measure shown.
∠4 = 45° because __________
Required
3 points
3
Question 22
22.
Tell why each of the angles indicated are congruent to the angle measure shown.
∠7 = 45° because __________
Required
3 points
3
Question 23
23.
Tell why each of the angles indicated are congruent to the angle measure shown.
∠1 = 130° because __________
Required
3 points
3
Question 24
24.
Tell why each of the angles indicated are congruent to the angle measure shown.
∠4=130° because __________
Required
3 points
3
Question 25
25.
Tell why each of the angles indicated are congruent to the angle measure shown.
∠7=130° because __________
Required
3 points
3
Question 26
26.
Tell why each of the angles indicated are supplementary to the angle measure shown.
∠3=50° because __________
Required
3 points
3
Question 27
27.
Tell why each of the angles indicated are supplementary to the angle measure shown.
∠6=50° because __________
Required
5 points
5
Question 28
28.
Find the indicated angle measures. Then justify each answer.
m∠1 = 115° because __________
Required
5 points
5
Question 29
29.
Find the indicated angle measures. Then justify each answer.
m∠1 = 96° because __________
Required
5 points
5
Question 30
30.
Find the indicated angle measures.
m∠1 = ______°
Required
5 points
5
Question 31
31.
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