Two lines and a Transversal Jeff Bivin & Katie Nerroth Lake Zurich High School [email protected] [email protected] Last Updated: November 18, 2005.

Two lines and a Transversal

Jeff Bivin & Katie NerrothLake Zurich High School

[email protected]@lz95.org

Last Updated: November 18, 2005

1 2

3 4

5 6

7 8

1 2

3 4

5 6

7 8

INTERIOR

EXTERIOR

EXTERIOR

1 2

3 4

5 6

7 8

3

6

Alternate Interior Angles

a pair of angles formed by 2 lines and a transversal that

•Must lie in the interior of the figure

•Are on alternate sides of the transversal

•Must have different vertices

4

5

1 2

3 4

5 6

7 8

2

7

1

8

Alternate Exterior Angles

a pair of angles formed by 2 lines and a transversal that

•Must lie in the exterior of the figure

•Are on alternate sides of the transversal

•Must have different vertices

1 2

3 4

5 6

7 8

2

6

1

5

4

8

3

7

Corresponding Angles

a pair of angles formed by 2 lines and a transversal that

•One angle lies in the exterior of the figure and one angle must lie in the interior

•Are on the same side of the transversal

•Must have different vertices

1 2

3 4

5 6

7 8

65

43

Same Side Interior Angles

a pair of angles formed by 2 lines and a transversal that

•Must lie in the interior of the figure

•Are on the same side of the transversal

•Must have different vertices

1 2

3 4

5 6

7 8

21

87

Same Side Exterior Angles

a pair of angles formed by 2 lines and a transversal that

•Must lie in the exterior of the figure

•Are on the same side of the transversal

•Must have different vertices

1 2

3 4

5 6

7 8

2

6

1

5

4

8

3

7

Vertical Angles

a pair of angles such that the rays forming the sides of one and the rays forming the sides of the other are opposite rays

•Must have the same vertex

12

3

4

5

67

8

12

3

4

5

67

81

2

3

4

5

67

8

Which Angles are Corresponding Angles?

∠1 and ∠ 4

∠3 and ∠ 6

∠2 and ∠ 8

∠5 and ∠ 7

12

3

4

5

67

84

6

What type of angles are ∠6 and ∠4?

Alternate Exterior AnglesWhat other angles are alternate exterior angles?

∠2 and ∠ 5

2

5

12

3

4

5

67

8

Which angles are alternate interior angles?

3

1

7

8

∠1 & ∠ 3 ∠ 7 & ∠ 8

12

3

4

5

67

8

Which angles are same side interior angles?

3

1

7

8

∠1 & ∠ 8 ∠ 7 & ∠ 3

1 2 3 4

5 6 7 8

1 2 3 4

5 6 7 8

What type of angles are ∠1 and ∠8?

Alternate Exterior

1

8

1 2 3 4

5 6 7 8

What type of angles are ∠1 and ∠3?

Corresponding

1 3

1 2 3 4

5 6 7 8

What type of angles are ∠6 and ∠3?

Alternate Interior

3

6

1 2 3 4

5 6 7 8

What type of angles are ∠5 and ∠4?

Alternate Exterior

4

5

1 2 3 4

5 6 7 8

What type of angles are ∠5 and ∠2?

Vertical

5

2

1 2 3 4

5 6 7 8

What type of angles are ∠2 and ∠7?

Alternate Interior

2

7

1 2 3 4

5 6 7 8

What type of angles are ∠6 and ∠7?

Same Side Interior

76