WorksheetsReview for Semester 2 Final Exam
Total questions: 119
Worksheet time: 3hrs 14mins
Name
Class
Date
1.
Write this fraction as a decimal.
9/16
9/16
a)
.563
b)
.916
c)
.500
d)
1.78
2.
2/9 as a decimal
a)
0.222...
b)
0.29...
c)
0.92....
d)
0.4
3.
What is 1.2 as a fraction?
a)
3/25
b)
1/2
c)
1 2/5
d)
1 1/5
4.
3/16
a)
0.1875
b)
0.25
c)
0.375
d)
0.5
5.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
6.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
7.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
8.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
9.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
10.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
11.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
12.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
13.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
14.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
15.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
16.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
17.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
18.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
19.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
20.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
21.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
22.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
23.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
24.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
25.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
26.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
27.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
28.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
29.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
30.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
31.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
32.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
33.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
34.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
35.
a)
a
b)
b
36.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
37.
In 23 what is the base?
a)
2
b)
3
c)
23
38.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
39.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
40.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
41.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
42.
a)
28 ft
b)
38 ft
c)
43 ft
d)
49 ft
43.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
44.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
45.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
46.
Does the set of numbers represent a Pythagorean Triple.
20, 25, 15
20, 25, 15
a)
Yes
b)
No
47.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
48.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
49.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
50.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
51.
Identify the correct statement.
a)
∠1 & ∠2
are vertical angles
are vertical angles
b)
∠2 & ∠4
are vertical angles
are vertical angles
c)
∠5 & ∠8
are vertical angles
are vertical angles
d)
∠1 & ∠5
are vertical angles
are vertical angles
52.
Identify the correct statement.
a)
∠1 & ∠2
are corresponding angles
are corresponding angles
b)
∠2 & ∠4
are corresponding angles
are corresponding angles
c)
∠5 & ∠8
are corresponding angles
are corresponding angles
d)
∠1 & ∠5
are corresponding angles
are corresponding angles
53.
Identify the correct statement.
a)
∠1 & ∠8
are alternate interior angles
are alternate interior angles
b)
∠2 & ∠3
are alternate interior angles
are alternate interior angles
c)
∠4 & ∠5
are alternate interior angles
are alternate interior angles
d)
∠7 & ∠4
are alternate interior angles
are alternate interior angles
54.
Identify the correct statement.
a)
∠1 & ∠8
are supplementary angles
are supplementary angles
b)
∠2 & ∠3
are supplementary angles
are supplementary angles
c)
∠4 & ∠5
are supplementary angles
are supplementary angles
d)
∠7 & ∠8
are supplementary angles
are supplementary angles
55.
Identify the correct statement.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
56.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
57.
Identify the correct statement.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
58.
Identify the correct statement.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
59.
Angle A and C are...
a)
Supplementary
b)
Congruent
60.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
61.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
62.
Angle R and C are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
63.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
64.
Angle P and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
65.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
66.
What is the scale factor going from triangle ABC to triangle DEF?
a)
2
b)
3
c)
1
d)
1/2
67.
Line CB corresponds to...
a)
EF
b)
HE
c)
GF
d)
HG
68.
Line CB corresponds with what line?
a)
SR
b)
PQ
c)
SP
d)
RQ
69.
Line BC corresponds with what line?
a)
XZ
b)
XY
c)
YZ
d)
YX
70.
Line AB corresponds with what line?
a)
ZV
b)
VW
c)
YX
d)
ZY
71.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
72.
a)
A
b)
C
c)
D
73.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
74.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
75.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
76.
The pair of figures is similar. Find the missing side.
a)
x = 22
b)
x = 2
c)
x = 16
d)
x = 8
77.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
78.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
79.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
80.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
81.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
82.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
83.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
84.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
85.
What is the scale factor from the inner pentagon to the outer pentagon?
a)
2
b)
1/2
c)
3
d)
1/3
86.
Which might be a scale factor for a ENLARGEMENT?
a)
1/1
b)
1/2
c)
3/2
d)
2/3
87.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
88.
Which of the following angles can you add together to equal angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
89.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
90.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
91.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
92.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
93.
Which statement is the congruence statement for the 2 triangles?
a)
∆EFG ≅ ∆MLF
b)
∆EFG ≅ ∆MFL
c)
∆EGF ≅ ∆FML
d)
∆GEF ≅ ∆FML
94.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
95.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
96.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
97.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
98.
What is this formula used to find?
V=4/3πr3
V=4/3πr3
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
99.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
100.
Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
310.2 cm3
b)
379.2 cm3
c)
240.8 cm3
d)
456 cm3
101.
A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
a)
7234.6 cm3
b)
7984.6 cm3
c)
8934.4 cm3
d)
6034.7 cm3
102.
Find the volume of a sphere with diameter 4 m.
a)
33.49 m cubed
b)
50.24 m cubed
c)
16.75 m cubed
103.
Estimate the volume.
a)
163in3
b)
18in3
c)
283in3
d)
324in3
104.
V = ?
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
105.
A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.
a)
502.4 in3
b)
167.5 in3
c)
251.2 in3
d)
83.7 in3
106.
A right cone has a height of 6 feet and a volume of 32π cubic feet. What is its radius?
a)
6 ft
b)
5 ft
c)
2 ft
d)
4 ft
107.
Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can?
a)
12.0
b)
24.0
c)
75.4
d)
18.8
108.
Find the volume of a HEMIsphere with a radius of 4.
a)
85.3π
b)
62.67π
c)
42.67π
d)
8π
109.
Which has a greater volume?
Cylinder A: r = 3 m, h = 1.2 m
Cylinder B: d = 4 m, h =2.5 m
Cylinder A: r = 3 m, h = 1.2 m
Cylinder B: d = 4 m, h =2.5 m
a)
Cylinder A at 31.4 m3
b)
Cylinder B at 31.4 m3
c)
Cylinder A at 33.9 m3
d)
Cylinder B at 33.9 m3
110.
Is the following number rational or irrational?
.56565656...
.56565656...
a)
Rational
b)
Irrational
111.
Is the following number rational or irrational?
7
7
a)
Rational
b)
Irrational
112.
Is the following number rational or irrational?
√5
√5
a)
Rational
b)
Irrational
113.
Is the following number rational or irrational?
√16
√16
a)
Rational
b)
Irrational
114.
Is the following number rational or irrational?
-.9
-.9
a)
Rational
b)
Irrational
115.
Is the following number rational or irrational?
100/89
100/89
a)
Rational
b)
Irrational
116.
Is the following number rational or irrational?
.737293787920917...
.737293787920917...
a)
Rational
b)
Irrational
117.
Is the following number rational or irrational?
9/10
9/10
a)
Rational
b)
Irrational
118.
Is the following number rational or irrational?
√80
√80
a)
Rational
b)
Irrational
119.
Is the following number rational or irrational?
√121
√121
a)
Rational
b)
Irrational
100 %
