Unit 1B * Transversals and Parallel Lines (Notes)

advertisement
Unit 1B – Transversals and Parallel Lines (Notes)
Name
Date
I can…
Essential Question(s):
Key Concepts
Notes
Transversal

Definition

What does one look like? Be sure to label
all lines.
Teaching Points
1. How many angles did we just create by
drawing a transversal?
2. Just like how we learned about vertical
angles, adjacent angles, and linear pairs in
the previous section, a transversal creates
4 more angle relationships. They are …
Page 1 of 8
Document1
Page 2 of 8
Document1
Key Angle Relationships
Start by drawing two lines and a transversal. Label the
lines a and b, respectively, and name the transversal c.
Consecutive Interior angles

Nickname

Angles
Alternate Exterior angles

Nickname

Angles
Alternate Interior angles

Nickname

Angles
Corresponding angles

Nickname

Angles
Page 3 of 8
Document1
Identifying Angle Relationships Examples
Example 1
Directions: Refer to the
figures at right. Identify
each pair of angles below
as alternate interior,
alternate exterior,
corresponding, or
consecutive interior.
1.  3 and  6
2.  1 and  7
3.  3 and  5
4.  4 and  8
5.  2 and  8
6.  2 and  6
Example 2
1.  1 and  7
2.  2 and  10
3.  8 and  9
4.  4 and  10
5.  3 and  5
6.  1 and  9
Example 3
1.  3 and  10
2.  2 and  12
3.  8 and  14
4.  2 and  6
5.  4 and  9
6.  5 and  15
Page 4 of 8
Document1
Parallel Lines

Definition

What do they look like?

How do I show this in my picture?

Symbol

How do I express this?
Activity: How to Draw Parallel Lines
1. Begin by drawing
and point C, so that C is NOT on the line.
2. Draw a line through C and across
point D.
at an angle, creating
3. With the compass about half DC, and the point on D, draw an
arc across both lines.
4. Using the same compass width, repeat this at point C.
5. Set the compass width to the lower arc.
6. Move the compass to the upper arc. Mark off an arc to make
point E.
7. Draw a straight line through C and E.
Therefore, my result is…..
Summary, Reflection, Analysis…
Page 5 of 8
Document1
Unit 1B – Transversals and Parallel Lines Exercises
Name
Date
Directions: Using the pictures below, identify each pair of angles as alternate interior, alternate
exterior, corresponding, consecutive interior, vertical, or linear pairs.
1.  2and  8
2.  3and  6
3.  1 and  9
4.  6 and  8
5.  3 and  9
6.  6 and  12
7.  7 and  11
8.  9 and  10
9.  1 and  5
10.  6 and  14
11.  2 and  8
12.  1 and  3
13.  3 and  11
Page 6 of 8
Document1
14.  12 and  3
15.  4 and  6
16.  12 and  11
17.  6 and  16
18.  11 and  14
19.  10 and  16
20.  14 and  16
21.  2 and  12
22.  6 and  18
23.  13 and  19
24.  11 and  7
Page 7 of 8
Document1
Unit 1B – Transversals and Parallel Lines (Construction)
Name
Activity:
Date
Constructing Parallel Lines
Directions: Using only a compass and a protractor, construct
Page 8 of 8
.
Document1
Download