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Quarter 4 review

Total questions: 60

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

2.

Underline the hypothesis and italicize the conclusion in each statement.

a)

If your dog eats Purina, then he’ll stay happy and healthy.

b)

If your dog eats Purina, then he’ll stay happy and healthy.

c)

If your dog eats Purina, then he’ll stay happy and healthy.

d)

If your dog eats Purina, then he’ll stay happy and healthy.

3.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

4.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

5.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is a counterexample of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

6.

The statement "an angle is a right angle if and only if its measure is 90o" is an example of what type of statement?

a)

Conditional

b)

Conjecture

c)

Biconditional

7.

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

a)

Inductive

b)

Deductive

8.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

a)

Inductive

b)

Deductive

9.

Using the Law of Detachment, draw a conclusion based on the statements given:

If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.

a)

Sarah will get stuck in the security line.

b)

Sarah will have a long flight.

c)

Sarah will need to bring a neck pillow and headphones.

d)

Sarah will get stuck with a middle seat on the plane.

10.
All chickens that we have seen have been brown; so, all chickens are brown. 
a)
Deductive
b)
Inductive
11.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 
a)
Deductive
b)
Inductive
12.

If I go to the movie, then I’ll eat popcorn.

If I eat popcorn, then I’ll enjoy the movie.

a)

No valid conclusion possible

b)

Yes, using the Law of Detachment

c)

Yes, using the Law of Syllogism

13.
Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
a)
Look out for the snowplows while driving to school.
b)
The big test will not be given today.
c)
The roads will be hard to drive on.
d)
You should call the school to see if school is canceled.
14.

If I miss my bus, then I’ll be late for school.

I miss my bus.

a)

No valid conclusion possible

b)

Yes, using the Law of Detachment

c)

Yes, using the Law of Syllogism

15.

If this wind keeps up, then we will lose some trees.

We lose some trees.

a)

No valid conclusion possible

b)

Yes, using the Law of Detachment

c)

Yes, using the Law of Syllogism

16.

If a person is a librarian, then they read books.

If a person is a friend of Dana’s, then they read books.

a)

No valid conclusion possible

b)

Yes, using the Law of Detachment

c)

Yes, using the Law of Syllogism

17.
What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27
a)
18,23
b)
18, 24
c)
17, 25
d)
17, 24
18.
a)
1
b)
15
c)
20
d)
12
19.
Where would the next red square be?
a)
bottom left
b)
top right
c)
top left
d)
bottom right
20.
Used to prove that a conjecture is false.
a)
Counterexample
b)
Inductive Reasoning
c)
Concluding statement
d)
Conjecture
21.

Underline the hypothesis and italicize the conclusion in each statement.

a)

If your dog eats Purina, then he’ll stay happy and healthy.

b)

If your dog eats Purina, then he’ll stay happy and healthy.

c)

If your dog eats Purina, then he’ll stay happy and healthy.

d)

If your dog eats Purina, then he’ll stay happy and healthy.

22.

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

a)

2/3

b)

64/729

c)

512/19683

d)

8/27

23.

If all of the dimensions of a triangular prism decreased by 1/3, how much would the volume decrease by?

a)

1/27

b)

1/9

c)

1/3

d)

1/6

24.
Two similar pyramids have heights of 4 inches and 7 inches.  What is the ratio of the volume of the small pyramid to the volume of the large pyramid? 
a)
4:7
b)
16:49
c)
64:343
d)
12:21
25.

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

a)

4:13.5

b)

2:9

c)

2:3

d)

4:13.5

26.

The volume of a prism is 1000 cubic centimeters. A similar prism has a volume of 27 cubic centimeters. What is the ratio of their surface areas?

a)

100:9

b)

10:3

c)

500:13.5

d)

100:2.7

27.

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

a)

2:3

b)

4:9

c)

3:4

d)

64:729

28.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
29.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
30.
What is the ratio for tangent?
a)
O/A
b)
A/O
c)
A/H
d)
O/H
31.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
32.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
33.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
34.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
35.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
36.
What is the side across from the right angle called?
a)
Leg
b)
Pythagoras
c)
Hypotenuse
d)
Altitude
37.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
38.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
39.
 Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
40.
A polygon with six sides is called a(n) ______________.
a)
hexagon
b)
pentagon
c)
decagon
d)
septagon
41.
A polygon with 5 sides is called a(n) _____________.
a)
pentagon
b)
hexagon
c)
septagon
d)
quadrilateral
42.
A polygon with 8 sides is called a(n) __________________.
a)
octagon
b)
decagon
c)
heptagon
d)
dodecagon
43.
The sum of the interior angles of a polygon is __________________ where n is the number of sides.
a)
(n - 2)180
b)
(n - 1)180
c)
360
d)
(n - 3)(180)
44.
The sum of the exterior angles of a polygon is __________________ where n is the number of sides.
a)
360
b)
n
c)
(n - 2)180
d)
(n - 1)180
45.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
46.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
47.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
48.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
49.
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
50.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
51.
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
52.
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)
53.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
54.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
55.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
56.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
57.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
58.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
59.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
60.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2

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