Download Polygon Test Name: Date: 1. As the number of sides of a polygon

Polygon Test
Name:
1.
Date:
As the number of sides of a polygon increases,
the sum of the measures of the exterior angles:
A.
increases
B.
remains the same
C.
increases, then decreases
4.
3x
The diagonal of a square is
inches. What is
2
the area of the square in terms of x ?
A.
9x2
8
B.
C.
9x2
4
D. none of these
D. decreases, then increases
5.
2.
The ratio of the areas of two squares is 9 : 16.
If the perimeter of the smaller square is 24 cm,
what is the perimeter of the larger square, in
centimeters?
A.
13.5
B.
16
C.
31
D. 32
3
2x
A square has sides of 20 inches. The midpoints of
each side are joined to form another square. This
process is continued in nitely. What is the sum of
the perimeters of the rst 8 squares?
A.
p
300 + 75 2
B.
p
150 2
C.
p
150 + 75 2
D. none of these
3.
Given the rectangle ABCD with segment MN as
shown, the area of the shaded triangles is what
percentage of the area of the rectangle?
6.
In trapezoid ABCD, F is the midpoint of AD and
G is the midpoint of BC. If FG = 9 and DH = 6,
then the area of the trapezoid is:
A.
20%
B.
25%
A.
54
C.
30%
B.
p
9 6
C.
18
D. none of these
D. 108
page 1
7.
ABCDEF is a regular polygon inscribed in circle O
of radius 6. The area of polygon ABCDEF is:
A.
p
27 3
B.
54
C.
p
54 3
10.
p
D. 108 3
Quadrilateral ABCD is a parallelogram. Choose
the statement that is not true.
A.
ODAB = OBCD
B.
BC ? AC
C.
mODAB + mOCBA = 180
D. AB k DC
8.
Which one of the following statements is false?
A.
Some rhombi are squares.
B.
All parallelograms are rectangles.
C.
Some parallelograms are squares.
11.
In the gure, the segments of length a and b lie
on perpendiculars to the diagonals of a square of
side length 2. Find a + b.
D. Some rectangles are rhombi.
9.
The degree measure of one angle of a regular
polygon is 145. The number of sides is:
A.
5
B.
7
C.
8
A.
D. 9
C.
page 2
p
2
p
2
2
1
B.
D.
p
2
pp
2+1
Polygon Test
12.
13.
16.
The exterior angles of a regular polygon are 40 .
This polygon must be a
A.
nonagon
B.
dodecagon
C.
hexagon
D. octagon
The degree measure of one angle of a regular
polygon is 140. The number of sides of the
polygon is:
A.
7
B.
9
C.
10
17.
D. 12
Which shape is not a parallelogram?
A.
rhombus
B.
square
C.
trapezoid
D. rectangle
In parallelogram ABCD, diagonals AC and DB
intersect at E. Which statement is always true?
A.
Triangle AED is isosceles.
B.
Triangle ABD is a right triangle.
C.
Triangle AEB is congruent to triangle AED.
D. Triangle ABC is congruent to triangle CDA.
14.
The sum of the measures of the interior angles of
an octagon is
A.
180
B.
360
C.
540
D. 1,080
18.
15.
A quadrilateral with exactly one pair of parallel
sides is a
A.
rhombus
B.
C.
square
D. trapezoid
A quadrilateral whose diagonals do not always
bisect each other is
A.
an isosceles trapezoid
B.
a rectangle
C.
a square
D. a rhombus
rectangle
page 3
Polygon Test
19.
20.
21.
The length of a rectangle is represented by (x + 4)
and the width is represented by (x 2). Which
expression represents the area of the rectangle?
A.
x2
C.
x2 + 2x
8
B.
8
22.
In the accompanying diagram, ABCD is a
parallelogram with altitude DE drawn to side AB.
If mOB = 140, nd mOADE.
23.
In the accompanying diagram of parallelogram
ABCD, DE is perpendicular to diagonal AC. If
mOBAC = 40 and mOADE = 70, nd mOB.
2x + 2
D. 4x + 4
In the accompanying diagram of rhombus ABCD,
the lengths of the sides AB and BC are represented
by 3x 4 and 2x + 1, respectively. Find the value
of x.
In the accompanying diagram of parallelogram
ABCD, mOA = 2x 10 and mOB = 5x + 15.
Find x.
page 4
Polygon Test