AXIA MTH 157
MTH/157 TEST CHAPTER 11 & 12
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Identify the motion or combination of motions that would produce the image.
1)
[pic]
A)
Rotation
B)
Translation
C)
Glide-reflection
D)
Reflection
2)
[pic]
A)
Translation
B)
Glide-reflection
C)
Reflection
D)
Rotation
Find the image of the figure obtained from the given transformation.
3)
[pic]
[pic]
A)
[pic]
B)
[pic]
C)
[pic]
D)
[pic]
4)
[pic]
[pic]
A)
[pic]
B)
[pic]
C)
[pic]
D)
[pic]
5)
[pic]
[pic]
A)
[pic]
B)
[pic]
C)
[pic]
D)
[pic]
Describe all symmetries of the figure shown.
6)
[pic]
A)
4 lines of reflectional symmetry
B)
2 lines of reflectional symmetry, 180° rotational symmetry
C)
2 lines of reflectional symmetry
D)
4 lines of reflectional symmetry, 90° rotational symmetry
Determine whether the figure has the suggested symmetry.
7)
180° rotational symmetry
[pic]
A)
Yes
B)
No
Find the image of the figure obtained from the given transformation.
8)
Triangle ABC under the size transformation [pic]
[pic]
A)
[pic]
B)
[pic]
C)
[pic]
D)
[pic]
9)
Rectangle ABCD under the size transformation [pic]
[pic]
A)
[pic]
B)
[pic]
C)
[pic]
D)
[pic]
List the vertex arrangements.
10)
[pic]
A)
3, 4, 6, 4 and 3, 4, 4, 6
B)
3, 4, 3, 6 and 3, 4, 6, 4
C)
3, 4, 6, 4
D)
3, 4, 3, 6
11)
[pic]
A)
3, 4, 3, 12 and 3, 12, 4
B)
3, 4, 3, 12 and 3, 12, 3
C)
3, 4, 3, 12
D)
3, 12, 3
Decide whether the figure shown is a polyhedron.
12)
[pic]
A)
Polyhedron
B)
Not a polyhedron
Solve the problem. Show your work.
13)
Find the number of degrees in the point angle of a [pic] star polygon. 100 degrees
Reason: the vertices of such a polygon divide the circle into 9 equal arcs; each such arc has a measure of 360/9=40 degrees. A point angle is an inscribed angle whose sides intercept exactly 5 of these arcs. So the measure of this angle is 5*40/2 = 100 degrees.
Decide whether the figure shown is a polyhedron.
14)
[pic]
A)
Not a polyhedron
B)
Polyhedron
15)
[pic]
A)
Polyhedron
B)
Not a polyhedron
Use Euler's formula to answer the question. Show your work.
16)
A polyhedron has 13 vertices and 21 faces. How many edges does it have?
V-E+F=2 that is E=V+F-2=13+21-2= 32 edges
17)
A polyhedron has 15 vertices and 31 edges. How many faces does it have?
V-E+F=2 that is F=2+E-V =2+31-15= 18 faces
Indicate the metric unit that would be best used to express the mass of the object.
18)
A flower petal
A)
milligrams
B)
grams
19)
A car key
A)
kilograms
B)
milligrams
C)
grams
Convert the units. Be sure to show work.
20)
3 cups = 24 fluid ounces
21)
48 inches = 4 feet
22)
448 ounces = 28 pounds
23)
59 km = 59,000 m
24)
591 mm= 59.1 cm
25)
161 mg = 0.161 g
Find the perimeter. Be sure to show work for full credit.
26)
[pic] Perimeter= 2(38+33)=2(71)=142 m
27)
[pic] Perimeter= 23+23+8 = 54 m
28)
[pic][pic] Perimeter= 4*5=20 m
Find the area of the polygon. Show your work for full credit.
29)
[pic] Area=24*49/2 =588 sq in
30)
[pic] Area= 5*5*sqrt(3)/4 = 25*root(3)/4 sq cm
5 cm
31)
[pic] Area= 9*9=81sq cm
Choose the most reasonable unit of measure for the following problems.
32)
Basketball court length 24 [pic] (mm, cm, m, km)
A)
mm
B)
cm
C)
km
D)
m
33)
Car's gas tank capacity 75 [pic] (mL, L)
A)
mL
B)
L
34)
One strand of hair:
A)
200 mg
B)
12 mg
C)
20 mg
D)
2 mg
35)
An apple:
A)
0.0207 g
B)
207 g
C)
2070 g
D)
0. 207 g
Complete the following. Show your work .Round to the nearest tenth.
36)
46 kg = [pic] lb
A)
116.8
B)
20.7
C)
48.8
D)
101.2
37)
15 L = [pic] qt
A)
15.8
B)
6.8
C)
18.0
D)
14.2
Select the best answer.
38)
The inside of your refrigerator might be set to a temperature of about
A)
43.5°C
B)
-2.9°C
C)
29°C
D)
2.9°C
39)
You might go ice skating if the outside temperature is about
A)
-41°C
B)
-1°C
C)
21°C
D)
11°C
Solve the problem. Round your answer to the nearest hundredth if necessary.
40)
In a certain coastal basin, the sea water contains 3.5 grams of salt per 1000 milliliters of water. How many grams of salt would be in 2 liters of the sea water.
A)
700 grams
B)
7 grams
C)
70 grams
D)
0.07 grams
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