HW 83: TEST 2 PRACTICE TEST
You will be allowed to use a calculator (not your phone), 1 page of notes (8 ½ X 11, 1 sided, in your own
handwriting), and the theorems of polygons that are included on this page.
The notes page is REQUIRED. Test question number 1 will be "Do you have your notes
page?" and will be counted towards your test grade.
TS: I can find the interior and exterior measures of angles of a polygon”
1) a) What is the sum of the measures of the interior angles in a 74-gon.
ANSWERS
b) How many sides does an n-gon have if the sum of the interior angles is 2700˚.
c) How many sides does a regular n-gon have if one exterior angle measures 40˚
2) A regular polygon has an interior angle of 170°.
a. What is the measure of one exterior angle?
b. How many sides does the polygon have?
c. What is the sum of the interior angles of the polygon?
3) For the quadrilateral shown below,
what is the m∠a + m∠c ?
4) Find x and y:
135
C
c°
70
◦
◦
140
◦
120
◦
160
◦
◦
x
32°
B
◦
100
y
D
◦
95°
a°
A
TS: “I can solve for a missing side length given similarity”
5) The figures at right are similar. Find w. 6) Given ∆ABC ∼ ∆PRN, solve for x.
N
A
9
6
8
20
w
7
C
8
12
B
R
2x + 1
P
TS “I can determine whether figures are similar and explain how I know”
Are the triangles at right similar?
5)
If they are, what is the scale factor?
10
.
Z
K
6
9
J
8
Y
If they are not, explain why not
X
L
6) Use the figure at right to complete the flowchart below.
P
Make sure you have a reason for each fact.
Write your reason under each circle.
7
11
12
T
Y
15
18
10
12
R
X
8
W
∆PRT ~ ∆
7)
∆RAM ~ ∆YAK because of
a) AA
b) SSS
c) SAS
d) not similar
22
Y
A
R
M
Make the congruence marks on the diagram
8)
K
Are the triangles similar? Explain how you know. Use a similarity statement in your justification.
F
A
73°
B
38°
68°
C
38°
D
E
TS:
“I can find the side lengths of special right triangles”
“I can use the Trigonometric Functions to find side lengths and angle measures of triangles”
“I can use the Pythagorean Theorem to find side lengths”
Draw an equilateral triangle. If its sides are 8 inches
Method 1
long, what is the height of the triangle?
Show two different ways of finding the height. Write
one answer as a radical write one answer as a decimal.
Diagram:
Method 2
54°
b
a
6
60
x
θ
36
6 2
6
30°
x
e
d
g
30°
h
60°
9
Which of the following is an equation that
will find the value of x in the figure to the
right?
A. x =
10
10
x
32°
cos 32 �
B. x = 10cos32°
C. x = 10tan32°
D. x = 10sin32°
What is the length of XY in the figure to the right?
X
A. 6 3
60°
B. 6 2
C. 12
D. 4 3
Z
6
Y
Which equation can be used to solve for x in the triangle below?
7
A. cos x = 11
B. tan x
C. sin x
7
= 11
7
= 11
2
7
x
D. x 2 + 7 = 112
TS: “I can use the properties of quadrilaterals to find angles and side lengths”
Find the measurement indicated in each parallelogram:
11
Solve for x given the trapezoid PQRS:
Find the length of the diagonal in the trapezoid: