Basic Mathematics for College Students

814 Chapter 9 An Introduction to Geometry

1. In the illustration, give the name of a point, a line,
   and a plane.

REVIEW EXERCISES

G H

I

C

D

2. a.In the figure below, find.
   b. Find the midpoint of.
   c. Is ?AC  GE

BH

m(AG)

123

CG

45678

AEBFD H

B

A

C

1

3. Give four ways to name the angle shown below.

A B C

E D

1

2

90°

50°

35°

x

6. In the figure above, is?


7. In the figure above, are and the same ray?


8. The measures of several angles are given below.
   Identify each angle as an acute angle, a right angle,
   an obtuse angle, or a straight angle.
   a.
   b.
   c.
   d. m(D)25°

m(C)180°

m(B)90°

m(A)150°

AB

¡

AC

¡

ABD  CBD

4. a.Is the angle shown above acute or obtuse?
   b. What is the vertex of the angle?
   c. What rays form the sides of the angle?
   d. Use a protractor to find the measure of the angle.


5. Identify each acute angle, right angle, obtuse angle,
   and straight angle in the figure below.
   9. The two angles shown here are
   adjacent angles. Find .x


6. Refer to the figure.
   a. Find.
   b. What is?
   c. What is?


7. Find the complement of a 71° angle.


8. Find the supplement of a 143° angle.


9. Are angles measuring 30°, 60°, and 90°
   supplementary?

m(GFH)

m(HFI)

x

11. Refer to the figure on the right.
    a. Find.
    b. Find.


12. Refer to the figure below.
    a. What is?
    b. What is?
    c. What is?
    d. What is?
    e. Are and complementary angles?CBD DBE

m(FBG)

m(CBD)

m(FBE)

m(ABG)

m(2)

m(1)

AB

y 30°

G

H

E

I

F

5 x + 25°

6 x + 5°

65°^1

2

E

D

B

C

F

G

A

39°

10. Line ABis shown in the figure below. Find .y