Geometry
Practice Test: Chapter 5
Name___________________
1. Suppose that you know that each interior angle of a regular polygon is A degrees.
Explain or show how you could determine how many sides the polygon has in terms of
A.
2. Suppose that each exterior angle of a polygon is B degrees. Explain or show how you
can determine the sum of the measures of the interior angles.
3. Explain how you can find the distance between two points that you can’t measure
directly.
50 o A
4. ABCD is a kite.
X
€
D
B
80 o
Y
C
Find X and Y.
In problems 5 & 6 ABCD €
is a trapezoid with AB //CD .
5. Perimeter = 266cm Find x.
6. Find a and c.
94 cm
€
B
A
A
B
a
116
o
x
D
C
D
€
c
C
52 cm
T
7.
20cm
26cm
S
18cm
I
MS is a midsegment. Find the perimeter of
MOIS
M
€
O
Chapter 5 • Test
Name
Name
Period
Period
Date
Date
Part C
Part
A each lettered measure.
Find
8. EF is a midsegment. Find x.
Complete each statement. Do not use square as an answer.
10
1. Perimeter ! 64
2. a ! _____
y E
1. In an isosceles trapezoid,
the
x base angles are ________________.
96°
a ! 8.
_____ A
_____
B
9. Findb y!and
z.
2.€The diagonals of a parallelogram ________________ each other.
x ! _____
x ! _____
3. Each interior angle of a regular decagon measures ________________.
x
a32cm
y ! x_____
y ! _____
– 12
x
4. The length of a midsegment of a trapezoid is the _______________ of
24°
the lengths of the bases.
a
y
47°
38
b
31
17cm
D of a kite are ________________ by the diagonal.
5. The vertex angles
6. 3.
The
consecutive
angles ofF a parallelogram
are ________________.
a
a!
_____
x
7. The
length
of a midsegment between two sides of a triangle
w!
_____
y
y
is ________________ the length of Cthe
w third side.
x ! _____
8. The
diagonals
are perpendicular bisectors ofz
60°
55°
y!
_____ of a ________________
46
each other.
10. A hexagonal
2-inch-wide
is to be
around
the regular
A opposite
regular
frame
is built
to
built from
strips hexagonal window shown. At
9. 4.
The
angles of mirror
a frame
parallelogram
arebe________________.
what anglespine
a andlattice.
b should
the corners
eachbpiece
be cut?
of 2-inch-wide
At what
angles of
a and
should
10. The
sum
of
the
measures
of
the
angles
of
a
hexagon
the lattice be cut?
is ________________.
a ! _____
b
b
a a
11. The midsegment of a trapezoid is ________________
to the two bases.
b ! _____
12. The nonvertex angles of a kite are ________________.
31
13. The diagonals of a ________________ are equal in length.
14. The three midsegments of a triangle divide the triangle
Part
D ________________.
into
x
Use the segments and angle at right to
15.
An
equiangular
quadrilateral
is
usually
called
a
________________.
construct each figure. Use either a compass
and a straightedge or patty paper.
Part B
11. Find the measure of each lettered angle.
1. Rhombus
WAVY using
!W and using
a = ______
f = ______
Find each lettered
angle measure.
88°
!!. (You don’t
segment z as the diagonal WV
1. a !
_____
! _____
need
use segments
and
y.)
bto
= ______
g2.=xb______
40°
3. 2.
c!
_____
4. d ! _____
Kite
LMNO using segments
y and z as
e
b
c = ______
h = ______
diagonals
and segment
x as a side.
5. e ! _____
6. f ! _____
W
f
(You don’t need to use !W.)
70°
g
d = ______
7. g ! _____
8. h ! _____
c
e = ______
y
z
d
h
a
76°
58°
(continued)
Discovering Geometry Assessment Resources A
32©2003 Key
CHAPTER
5
Curriculum
Press
CHAPTER 5
Discovering Geometry Assessment Resources A
©2003 Key Curriculum Press
33
12. Suppose that Kite ABCD has vertices A(-3, -2), B(2, -2), C(3, 1), D(0, 2). Find the
coordinates of the point of intersection of the diagonals.
13. An airplane is heading north at 900 km/hr. However, a 100 km/hr wind is blowing
from the east. Use a ruler and a protractor to make a scale drawing of these vectors.
Measure to find the approximate resultant velocity, both speed and direction.
14. Suppose that a regular quadrilateral, a regular pentagon, and another regular polygon
meet at the point shown below. How many sides does the third polygon have?
15. Draw the corresponding diagram then prove that the diagonals of a rhombus are
perpendicular. (C-50)
Given: Rhombus DENI, with diagonal DN
Show: DN ⊥ EI
€