Basic Mathematics for College Students

13. In the figure below, on the left,
    . When two parallel lines are
    cut by a transversal, angles on the same
    side of the transversal are supplementary.


14. In the figure below, on the right,. When two
    parallel lines are cut by a transversal,
    angles are congruent.


15. In the figure below, on the left,. What can you
    conclude about and?


16. In the figure below, on the right, and. What
    can you conclude about and?

NOTATION

Fill in the blanks.

17. The symbol indicates a angle.


18. The symbol is read as “is to.”


19. The symbol is read as “is to.”


20. The symbol is read as “line one.”

GUIDED PRACTICE

21. Refer to the figure below and identify each of the
    following.See Example 1.
    a. corresponding angles
    b. interior angles
    c. alternate interior angles

1

2

3

4

5

8

7

6

l 1 l

⊥





l 1

l 2

l 3 l 3

l 1 l 2

l 1 l 3

l 1 l 2 l 2 l 3

l 1 l 3

l 1 l 2

8

7

6

5

1

2

3

4

l 1

l 2

A

D

B

C

 8   6

m(BCD)180°

m(ABC) 22. Refer to the figure below and identify each of the

following.See Example 1.

a. corresponding angles

b. interior angles

c. alternate interior angles

23. In the figure below, and. Find the
    measures of the other seven angles that are labeled.
    See Example 2.


24. In the figure below, and. Find the
    measures of the other angles.See Example 2.


25. In the figure below,. Which pairs of angles
    are congruent? See Example 3.

Y M

X N

Z

1 2

3 4

YMXN

3 7

4 8

1 2

5

6

l 2

l 1

l 1 l 2 m(2)40°

(^56)
(^78)
(^34)
(^12)
l 2
l 1
l 1 l 2 m(4)130°
A
E
B
F
H
G
C
D
732 Chapter 9 An Introduction to Geometry