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

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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. Upper left hand corners. Upper right hand corners. Lower left hand corners. Lower right hand corners. 1a Think of same step on a ladder.

Name 2 pairs of Alternate interior angles. 1b Note the Z points the way.

Name 2 pairs of Alternate interior angles. 1b Note the Z points the way. Noted it is dyslexic.

Name 2 pairs of same- side interior angles. 1c

Name 2 pairs of same- side interior angles. 1c

Name 2 pairs of Alternate exterior angles. 1d

Name 2 pairs of same- side exterior angles. 1e

Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. Same-side interior angles C points the way. 2

Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. corresponding angles Same Ladder Position 3

Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. None. Note 4 lines not 3 lines are involved. 4

Alternate Interior angles AIA Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. 5 Note the Z points the way.

Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. None. Note 4 lines not 3 lines are involved. 6

Corresponding angles Same Ladder Position Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. 7

Same-side interior angles C points the way. Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. 8

Alternate interior angles AIA Classify each pair of angles as either corresponding angles alternate interior angles, alternate exterior angles, Same-side interior angles, Same-side exterior angles, None of these. 9 Note the Z points the way.

Classify each pair of lines as intersecting, parallel, or skew. Parallel 10a

Classify each pair of lines as intersecting, parallel, or skew. Parallel 10b

Classify each pair of lines as intersecting, parallel, or skew. Skew 10c

Classify each pair of lines as intersecting, parallel, or skew. Intersecting Note that they are in the same plane. 10d

Classify each pair of lines as intersecting, parallel, or skew. Skew 10e

Classify each pair of lines as intersecting, parallel, or skew. Skew 10f

Name 6 lines // to 11

Name several lines skew to 12

Name 5 lines // to ABCD 13

Name coplanar segments that do not intersect and yet are not parallel. 14

Complete each statement with the word… always, sometimes or never Two skew lines are _________ parallel. never Skew lines are non-coplanar while parallel lines are coplanar. Two parallel lines are _________ coplanar. always It is a requirement of definitions

Complete each statement with the word… always, sometimes or never A line in the plane of the ceiling and a line in the floor are ____________ parallel. sometimes Parallel Skew 17

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ parallel. Yes 18

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ parallel. Yes again 18

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ parallel. Sometimes No. 18

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ intersecting. Yes

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ intersecting. Sometimes No

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. No

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. Yes Sometimes

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. Sometimes No again

Complete each statement with the word… always, sometimes or never A line in the plane of the wall and the plane of the floor are __________ skew. Sometimes Yes again

C’est fini. Good day and good luck.