Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei 3.1 Classroom Exercises.

Parallel Lines and Planes

Dallas City HallI.M. Pei

ParthenonAthens

Havasu FallsI.M. Pei

3.1 Classroom Exercises

3.1 Classroom Exercises

8

5

7

62

4 3

1

1

ExteriorExterior

interior

1

34

2 6

7

5

8

This is a bad diagram because corresponding angles are only important when you have parallel lines.

Let’s adjust the picture.

1

Name 4 pairs of corresponding angles.

8 57 6

2

4

31

Upper left hand corners.

Upper right hand corners.

Lower left hand corners.

Lower right hand corners.

1a

Think of same step on a ladder.

8 57 6

2

4

31

Name 2 pairs of Alternate interior angles.

1b

Note the Z points the way.

8 57 6

2

4

31

Name 2 pairs of Alternate interior angles.

1b

Note the Z points the way.Noted it is dyslexic.

8 57 6

2

4

31

Name 2 pairs of same-side interior angles.

1c

8 57 6

2

4

31

Name 2 pairs of same-side interior angles.

1c

Name 2 pairs of Alternate exterior angles.

1d

8 57 6

2

4

31

8 57 6

2

4

31

Name 2 pairs of same-side exterior angles.

1e

Classify each pair of angles as either corresponding anglesalternate interior angles, alternate exterior angles,Same-side interior angles,Same-side exterior angles,None of these.

16151413

1211109

875 6

4321

7 11and Same-side interior angles

C points the way.

2

16151413

1211109

875 6

4321


14 16and corresponding anglesSame Ladder Position

3

16151413

1211109

875 6

4321


4 10and None.

Note 4 lines not 3 lines are involved.

4

Alternate Interior anglesAIA

16151413

1211109

875 6

4321


3 6and

5


16151413

1211109

875 6

4321


6 11and None.

Note 4 lines not 3 lines are involved.

6

16151413

1211109

875 6

4321

Corresponding anglesSame Ladder Position


2 10and

7

16151413

1211109

875 6

4321

Same-side interior angles

C points the way.


2 3and

8

16151413

1211109

875 6

4321

Alternate interior anglesAIA


7 12and

9


Classify each pair of lines as intersecting, parallel, or skew.

AB and EJ��

G

FH

IE

A D

CB

J N

MK

L

Parallel

10a


AB and FK��

G

FH

IE

A D

CB

J N

MK

L

Parallel

10b


AB and ID��

G

FH

IE

A D

CB

J N

MK

L

Skew

10c


EF and IH��

G

FH

IE

A D

CB

J N

MK

L

IntersectingNote that they are in the same plane.

10d


EF and NM��

G

FH

IE

A D

CB

J N

MK

L

Skew

10e


CN and FG��

G

FH

IE

A D

CB

J N

MK

L

Skew

10f

Name 6 lines // to

G

FH

IE

A D

CB

J N

MK

LGL��

FK��

EJ�� AB�� DC�� IN�� HM�� 11

Name several lines skew to

G

FH

IE

A D

CB

J N

MK

LGL��

NC��

BC��

AD��

AE��

JB��

EF��

HI��

ID��

12

Name 5 lines // to ABCD

G

FH

IE

A D

CB

J N

MK

L

FK�� EJ�� IN�� HM��

13

GL��

Name coplanar segmentsthat do not intersect andyet are not parallel. G

FH

IE

A D

CB

J N

MK

L

EF and��

HI��

JB and��

LM��

14

Complete each statement with the word…

always, sometimes or never

Two skew lines are _________ parallel.neverSkew lines are non-coplanar while parallel lines are coplanar.

Two parallel lines are _________ coplanar.always

It is a requirement of definitions.

15

16



A line in the plane of the ceiling and a line in the floor are ____________ parallel.sometimes

H

GF

E

D

CB

A

Parallel

Skew

17

H

GF

E

D

CB

A



A line in the plane of the wall and the plane of the floor are __________ parallel.

Yes

18



A line in the plane of the wall and the plane of the floor are __________ parallel.

H

GF

E

D

CB

A

Yes again

18



A line in the plane of the wall and the plane of the floor are __________ parallel.Sometimes

H

GF

E

D

CB

A

No.

18



A line in the plane of the wall and the plane of the floor are __________ intersecting.

H

GF

E

D

CB

A

Yes



A line in the plane of the wall and the plane of the floor are __________ intersecting.Sometimes

H

GF

E

D

CB

A

No



A line in the plane of the wall and the plane of the floor are __________ skew.

H

GF

E

D

CB

A

No



A line in the plane of the wall and the plane of the floor are __________ skew.

H

GF

E

D

CB

A

Yes

Sometimes



A line in the plane of the wall and the plane of the floor are __________ skew.Sometimes

H

GF

E

D

CB

A

No again



A line in the plane of the wall and the plane of the floor are __________ skew.Sometimes

H

GF

E

D

CB

A

Yes again

C’est fini.

Good day and good luck.

Parallel Lines and Planes Dallas City Hall I.M. Pei Parthenon Athens Havasu Falls I.M. Pei 3.1 Classroom Exercises.

Documents

pair of angles

alternate interior angles

pairs of corresponding

interior angles c points

c slide

b slide

d slide

e slide