Lesson 3-1

Lesson 3-1

Parallel Lines and Transversals

Ohio Content Standards:

Ohio Content Standards:

Formally define geometric figures.

Ohio Content Standards:

Recognize and apply angle relationships in situations involving intersecting lines,

perpendicular lines and parallel lines.

Ohio Content Standards:Recognize the angles

formed and the relationship between the angles when two lines

intersect and when parallel lines are cut by a

transversal.

Skew Lines

Skew Lines

Lines that do not intersect and are

not coplanar.

Name all planes that are parallel to plane AEF.

B

H

G F

E

DC

A

Name all segments that intersect AF.

B

H

G F

E

DC

A

Name all segments that are parallel to DC.

B

H

G F

E

DC

A

Name all segments that are skew to AD.

B

H

G F

E

DC

A

Transversal

Transversal

A line that intersects two or more lines in a

plane at different points.

Identify the sets of lines to which each given line is a

transversal.

v

zy

xw

u

Identify the sets of lines to which each given line is a

transversal.

line v

v

zy

xw

u

Identify the sets of lines to which each given line is a

transversal.

line y

v

zy

xw

u

Identify the sets of lines to which each given line is a

transversal.

line u

v

zy

xw

u

Identify the sets of lines to which each given line is a

transversal.

line w

v

zy

xw

u

exterior angles

14 3

2

5 678

p

r

q

exterior angles

14 3

2

5 678

p

r

q

8 7, 2, ,1

interior angles

14 3

2

5 678

p

r

q

interior angles

14 3

2

5 678

p

r

q

6 5, 4, ,3

consecutive interior angles

14 3

2

5 678

p

r

q

consecutive interior angles

14 3

2

5 678

p

r

q

5 and 4 6, and 3

alternate exterior angles

14 3

2

5 678

p

r

q

alternate exterior angles

14 3

2

5 678

p

r

q

8 and 2 7, and 1

alternate interior angles

14 3

2

5 678

p

r

q

alternate interior angles

14 3

2

5 678

p

r

q

6 and 4 5, and 3

corresponding angles

14 3

2

5 678

p

r

q

corresponding angles

14 3

2

5 678

p

r

q

8 and 4 7, and 3

6, and 2 5, and 1

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

3 and 7

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

2 and 8

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

11 and 4

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

1 and 7

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

9 and 3

Identify each pair of angles as alternate, interior,

alternate interior, alternate exterior, corresponding,

or consecutive interior angles.

1 2

34

5 678

9 101211

10 and 7

Assignment:

Pgs. 129 - 131 22-46 evens, 62-72 evens