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Parallel Lines & TransversalsPowerPoint Presentation

Parallel Lines & Transversals

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### Parallel Lines & Transversals

Notes 12 – Section 3.1

Essential Learnings

- Students will understand and be able to identify the relationship between two lines or two planes.
- Students will be able to identify angle pairs formed by parallel lines and transversals.

Vocabulary

- Parallel lines – coplanar lines that do not intersect.
- Skew lines – lines that do not intersect and are not coplanar.
- Parallel planes – planes that do not intersect

Vocabulary

- Transversal – a line that intersects two or more coplanar lines at two different points.

1

2

3

4

5

6

7

8

Angle Pair Relationships

- Interior angles – lie inside the two lines cut by the transversal.
- Exterior angles – lie outside the two lines cut by the transversal.
InteriorExterior

1

2

3

4

3, 4,

5, 6

1, 2,

7, 8

5

6

7

8

Angle Pair Relationships

- Consecutive interior angles – interior angles that lie on the same side of the transversal.
- Corresponding angles – lie on the same side of the transversal and on the same side of the two lines that the transversal cuts.

Example 1

Identify the following from the figure:

Consecutive interior angles

Corresponding angles

1

2

3 &5

4 &6

3

4

5

6

7

8

1 &5, 3 &7

2 &6 4 &8

Angle Pair Relationships

- Alternate interior angles – angles that are nonadjacent interior angles that lie on opposite sides of the transversal.
- Alternate exterior angles – angles that are nonadjacent exterior angles that lie on opposite sides of the transversal.

Example 2

Identify the following from the figure:

Alternate interior angles

Alternate exterior angles

1

2

3 &6

4 &5

3

4

5

6

7

8

1 &8

2 &7

Example 3

Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

∠1 and ∠8

∠4 and ∠7

∠2 and ∠6

∠4 and ∠5

1

2

3

4

5

7

6

8

Example 4

Identify the transversal connecting each pair of angles in the figure then classify the relationship between the angles.

∠1 and ∠4

∠4 and ∠5

∠2 and ∠5

∠6 and ∠8

b

1

2

5

3

4

c

a

d

6

7

e

8

f

Example 5

- Describe the relationship between each pair of segments as parallel, skew, or intersecting.
AB and CG

DH and BF

CD and AD

B

C

D

A

F

G

E

H

Assignment

Pages 174-175: 22-44 even

USG 2 – Keep working on it!

Finish Mastery Assignment – Due Friday

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