Basic Mathematics for College Students

9.6 Quadrilaterals and Other Polygons 773

1. a.90° b.12 ft c.6.5 ft d.6.5 ft 3.87°, 101° 4.10 in., 58° 5.900°
   6.11 sides

ANSWERS TO SELF CHECKS

SECTION 9.6 STUDY SET

VOCABULARY

Fill in the blanks.

1. A is a polygon with four sides.


2. A is a quadrilateral with opposite sides
   parallel.


3. A is a quadrilateral with four right angles.


4. A rectangle with all sides of equal length is a.


5. A is a parallelogram with four sides of
   equal length.


6. A segment that joins two nonconsecutive vertices of a
   polygon is called a of the polygon.


7. A has two sides that are parallel and two
   sides that are not parallel. The parallel sides are called
   . The legs of an trapezoid have the
   same length.


8. A polygon has sides that are all the same
   length and angles that are all the same measure.

CONCEPTS

9. Refer to the polygon below.
   a. How many vertices does it have? List them.

b. How many sides does it have? List them.

c. How many diagonals does it have? List them.

d. Tell which of the following are acceptable ways of

naming the polygon.

quadrilateral

quadrilateral

quadrilateral

quadrilateral

10. Draw an example of each type of quadrilateral.

a. rhombus b. parallelogram

c. trapezoid d. square

e. rectangle f. isosceles trapezoid

BADC

ACBD

CDBA

ABCD

11. A parallelogram is shown below. Fill in the blanks.
    a. b.


12. Refer to the rectangle below.
    a. How many right angles does the rectangle have?
    List them.

b. Which sides are parallel?

c. Which sides are of equal length?

d. Copy the figure and draw the diagonals. Call the

point where the diagonals intersect point. How

many diagonals does the figure have? List them.

13. Fill in the blanks. In any rectangle:
    a. All four angles are angles.
    b. Opposite sides are.
    c. Opposite sides have equal.
    d. The diagonals have equal.
    e. The diagonals intersect at their.


14. Refer to the figure below.
    a. What is? b. What is?


15. In the figure below, , , and
    . What type of quadrilateral is?

D

F

T

R

m(D)90° DTRF

TRDFDTFR

A

D

(^12) B
6
C
m(CD) m(AD)
M
P
N
O

X

S T

VU

ST SV TU

A

D

B C