Basic Mathematics for College Students

16. Refer to the parallelogram shown below. If
    and , what type of figure is
    quadrilateral?


17. a. Is every rectangle a square?
    b. Is every square a rectangle?
    c. Is every parallelogram a rectangle?
    d. Is every rectangle a parallelogram?
    e. Is every rhombus a square?
    f. Is every square a rhombus?


18. Trapezoid is shown below. Which sides are
    parallel?


19. Trapezoid is shown below.
    a. What type of trapezoid is this?
    b. Which angles are the lower base angles?
    c. Which angles are the upper base angles?
    d. Fill in the blanks:
    m( )
    m( )
    m( )


20. Find the sum of the measures of the angles of the
    hexagon below.

NOTATION

21. What do the tick marks in the figure indicate?

A B

D C

80°

110°170°

105°

160° 95°

K

JM

L

m(JK)

m(K)

m(J)

JKLM

XY

W Z

WXYZ

JG

IH

GHIJ

m(GI) 4 m(HJ) 4

22. Rectangle is shown below. What do the tick
    marks indicate about point?


23. In the formula , what does
    represent? What does represent?


24. Suppose. What is?

GUIDED PRACTICE

In Problems 25 and 26, classify each quadrilateral as a rectangle,

a square, a rhombus, or a trapezoid. Some figures may be

correctly classified in more than one way.See Objective 1.

25. a. b.

c. d.

26. a. b.

c. d.

27. Rectangle is shown below.See Example 1.
    a. What is?
    b. What is?
    c. What is?
    d. What is?


28. Refer to rectangle shown below.See Example 1.
    a. Find. b. Find.
    c. Find. d. Find.
    F

E

G

H

(^16) I
m(EI) m(EG)
m(EHG) m(FH)

EFGH

m(BD)

m(AC)

m(AX)

m(DCB)

ABCD

8 cm

8 cm

8 cm 8 cm

4 in. 4 in.

4 in.

4 in.

n 12 (n2)180°

n

S(n2)180° S

A

D

B

C

X

X

ABCD

774 Chapter 9 An Introduction to Geometry

A

D

B

X

C

9