![Page 1: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/1.jpg)
Parallel Lines and Planes
Dallas City HallI.M. Pei
ParthenonAthens
Havasu FallsI.M. Pei
Lesson 3.2 Classroom Exercises
![Page 2: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/2.jpg)
Mr. Sabia’s Favorite Theorem
Vertical angles are congruent.VA are
X marks the spot.
![Page 3: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/3.jpg)
Mr. Sabia’s 2nd Favorite TheoremLinear pairs are supplementary.
Lp’s are suppl.
a b
180m a m b
![Page 4: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/4.jpg)
Mr. Sabia’s Third Favorite TheoremIf 2 lines are //, then the Alternate Interior angles are congruent.
AIA are
![Page 5: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/5.jpg)
If two lines are parallel….
The corresponding angles are congruent.
The alternate interior angles are congruent.
The alternate exterior angles are congruent.
The same-side interior angles are supplementary.
The same-side exterior angles are supplementary.
![Page 6: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/6.jpg)
87
65
43
21L
P
1
What do the arrowheads in the diagram tell you?
L // P
KT
![Page 7: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/7.jpg)
87
65
43
21L
P
2 State the postulate or theorem that justifies each statement.
1 5
If 2 lines are parallel and cut by a transversal,Then the corresponding angles are congruent.
KT
![Page 8: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/8.jpg)
87
65
43
21
3 6
L
P
3 State the postulate or theorem that justifies each statement.
If 2 lines are parallel and cut by a transversal,Then the alternate interior angles are congruent.
KT
![Page 9: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/9.jpg)
L
P
4 State the postulate or theorem that justifies each statement.
If 2 lines are parallel and cut by a transversal,Then the same-side interior angles are supplementary.
4 6 180m m 87
65
43
21
KT
![Page 10: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/10.jpg)
L
P
5 State the postulate or theorem that justifies each statement.
If 2 lines are parallel and cut by a transversal,Then the corresponding angles are congruent.
4 8m m 87
65
43
21
KT
![Page 11: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/11.jpg)
L
P
6 State the postulate or theorem that justifies each statement.
If 2 lines are parallel and cut by a transversal,Then the alternate interior angles are congruent.
4 5m m
KT
87
65
43
21
![Page 12: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/12.jpg)
L
P
7 State the postulate or theorem that justifies each statement.
Vertical angles are congruent.
KT
6 7 87
65
43
21
![Page 13: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/13.jpg)
87
65
43
21L
P
8 State the postulate or theorem that justifies each statement.
If a line is perpendicular to on of two parallel lines, then it is perpendicular to the other.
K P
KT
![Page 14: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/14.jpg)
L
P
9 State the postulate or theorem that justifies each statement.
KT
3 5is complementary to
If 2 lines are parallel and cut by a transversal,Then the same-side interior angles are supplementary.
87
65
43
21
![Page 15: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/15.jpg)
87
65
43
21L
P
10 State the postulate or theorem that justifies each statement.
KT
If the measure of angle 1 is 130, what are the measures of the other angles?
1300
1300
1300
1300
500
500
500
500
![Page 16: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/16.jpg)
87
65
43
21L
P
11 State the postulate or theorem that justifies each statement.
KT
If the measure of angle 1 is x, what are the measures of the other angles?
x
x
x
x
180-x
180-x
180-x
180-x
![Page 17: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/17.jpg)
87
65
43
21L
P
12 State the postulate or theorem that justifies each statement.
KT
4 2 3,
6.
If m m
then find m
x 2x
x + 2x = 180
3x = 180
x = 60
60, AIA
![Page 18: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/18.jpg)
L
P
13 State the postulate or theorem that justifies each statement.
KT
5 6 20,
1.
If m m
then find m
xx + 20
x + x + 20 = 180
2x + 20 = 180
x = 80
CA
2x = 1601 20m x
1 100m
87
65
43
21
![Page 19: Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei Lesson 3.2 Classroom Exercises](https://reader035.vdocument.in/reader035/viewer/2022081602/551bd586550346be588b5739/html5/thumbnails/19.jpg)
C’est fini.
Good day and good luck.