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Midterm Review DC

Total questions: 109

Worksheet time: 4hrs 52mins

Name
Class
Date
1.
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
2.
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
3.
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)
4.
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)
5.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
6.
Which letter does not have symmetry?
G H O E
a)
G
b)
H
c)
O
d)
E
7.
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)
8.
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)
9.
What would the new point be if you rotated the point (3,-5) 270° clockwise?
a)
a.  (-3,-5) 
b)
b.  (-5,-3) 
c)
c.  (5,3)
10.
What would the new point be if you rotated the point (4,9) 180°about the origin?
a)
a. (-9,4)
b)
b. (-4,-9)
c)
c. ( 9, -4) 
d)
d. (4,9)
11.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
12.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
13.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
I have a dog.
b)
I have a Siberian Husky.
14.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
I have a dog.
b)
I have a Siberian Husky.
15.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
"If angles are not congruent, then the measures of the angles are not equal."
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
16.
What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”
a)
If Shelly lives in Texas, then she lives in the United States.
b)
If Shelly lives in the United States, then she lives in Texas.
c)
Shelly lives in Texas if and only if she lives in the United States.
d)
If Shelly does not live in Texas, then she does not live in the United States.
17.
Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
18.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
19.

"Glass objects are fragile" What is the converse of this statement?

a)

If the object is fragile, then it is made of glass

b)

If the object is glass, then it is fragile

c)

If it is glass, then it will break

d)

If it breaks, then it will shatter

20.

"When it rains the Twins will not play baseball" - Name the converse

a)

If the Twins will not play baseball then it is raining

b)

If the Twins will play baseball then it is not raining.

c)

If it rains, the Twins will not play baseball

d)

If the Twins rain then someone will play baseball

21.

The Giants have lost their last seven games. Thus, they will probably lose their next game.


What type of reasoning was used?

a)

Inductive

b)

Deductive

22.

Since today is Friday, tomorrow will be Saturday.


What type of reasoning was used?

a)

Inductive

b)

Deductive

23.

Since it rained every christmas day for the past four years it will rain on christmas day this year.


What type of reasoning was used?

a)

Inductive

b)

Deductive

24.
Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 
a)
Deductive
b)
Inductive
25.
Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.
a)
You will need to bring your fishing rod.
b)
Invalid
c)
You are a boring person.
d)
You are going to catch a fish.
26.
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
a)
You have more energy
b)
If you exercise regularly, then you have more energy
c)
You have a healthy body
d)
If you do not have a healthy body, then you do not exercise regularly
27.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.

a)

If the sun is not shining, we will not go hiking.

b)

If the sun is shining then we will go hiking.

c)

No conclusion can be made.

d)

If we go hiking, then it is a beautiful day.

28.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

29.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

30.
If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?
a)
∠A is complementary to ∠B
b)
∠A is acute.
c)
∠A is obtuse.
d)
∠A is 40⁰
31.
(1) If you have a can opener, you can open a can.
(2) Jon has a can opener.
(3) John can open a can.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Syllogism
b)
Law of Detachment
c)
invalid
32.
(1)  If it is a rabbit, then it has long ears.
(2)  Peter Cottontail has long ears.
(3)  Peter Cottontail is a rabbit.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
invalid
33.
Which law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.
a)
Law of Detachment
b)
Law of Contrapositive
c)
Law of Syllogism
d)
Law of Biconditional
34.
Which law of logic is this:
If my mom stays home, then she won't buy shoes.
If she doesn't buy shoes, then she'll wear an old pair. 
Therefore if my mom stays home, then she will wear an old pair of shoes.
a)
Contrapositive
b)
Converse
c)
Detachmant
d)
Syllogism
35.

FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS

a)
b)
c)
d)
36.

FIND THE DISTANCE BETWEEN EACH PAIR OF POINTS

a)
b)
c)
d)
37.

FIND THE MIDPOINT OF THE LINE SEGMENT WITH THE GIVEN ENDPOINTS

a)
b)
c)
d)
38.

FIND THE MIDPOINT OF THE LINE SEGMENT WITH THE GIVEN ENDPOINTS

a)
b)
c)
d)
39.
G is the midpoint of HK.  If G is located at (-2, 4) and H is located at (3, 5), find the coordinates of K.
a)
Not Enough Information
b)
(0.5, 4.5) 
c)
(-7, 3)
d)
(2.5, -0.5)
40.

Find the missing endpoint of a segment if the midpoint is at (2, -5) and the other endpoint is at (12, -5).

a)

(2, -5)

b)

(10, -8)

c)

(-8, -5)

d)

(12, -5)

41.

Solve

a)

25°

b)

125°

c)

145°

d)

45°

42.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

43.
Find AC
a)
7
b)
8
c)
22
d)
23
44.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

45.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

46.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

47.
Let B be between A and C.
a)
7
b)
24
c)
13
d)
14
48.

Calculate m∠DEF.

a)

180°

b)

60°

c)

120°

d)

80°

49.
a)

160

b)

37

c)

86

d)

61.5

50.

The angle bisector of ∠PQR is QE→\angle PQR\ is\ \overrightarrow{QE}  . If m ∠PQE = 2n°\angle PQE\ =\ 2n\degree  , what is the m ∠PQR?\angle PQR?  

a)

n°n\degree  

b)

2undefined 

c)

4undefined 

d)

8undefined 

51.
a)

46

b)

52

c)

20

d)

49

52.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
53.

What is the complement of an angle whose measurement is 62 degrees?

a)

28 degrees

b)

20 degrees

c)

48 degrees

d)

38 degrees

54.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
55.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
56.
Solve for x
a)
20
b)
25
c)
120
d)
180
57.
Solve for x
a)
5
b)
90
c)
25
d)
10
58.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
59.
Find the supplement of the angle
a)
160
b)
20
c)
-70
d)
180
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.
If angle P measures 60 degrees, what is the measure of angle C?
a)
60 degrees
b)
30 degrees
c)
120 degrees
64.
If angle B measures 120 degrees, find the measure of angle Q.
a)
120 degrees
b)
-30 degrees
c)
60 degrees
65.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
66.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
67.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
68.
Solve for y.
a)
y = 55
b)
y = 35
c)
y = 70
d)
y = 70
69.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
70.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
71.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
72.

Calculate the angle

a)

45°

b)

40°

c)

25°

d)

50°

73.

What type of triangle is this ?

a)

Scalene

b)

right angle

c)

eqilateral

d)

Isosceles

74.

Calculate angle x of this isosceles triangle. Clue:- 26°+26°+? =180°

a)

180°

b)

52°

c)

26°

d)

128°

75.

Click two boxes only (take you time).

a)

There are two missing angles inside the triangle.

b)

You need to calculate the green angle first.

c)

This is impossible

d)

This question is silly

76.

Calculate the angle

a)

180°

b)

114°

c)

57°

d)

66°

77.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

78.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

79.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
80.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 
a)
7.5 ft 
b)
15 ft 
c)
26 ft 
d)
30 ft 
81.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
82.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
83.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
84.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
85.
A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees 
86.
Solve for the misssing distance
a)
18.9 meters
b)
19.5 meters
c)
47.2 meters
d)
27.5 meters
87.
A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 
a)
4.1 inches
b)
3.9 inches
c)
22.7 inches 
d)
0.7 inches 
88.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

89.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
90.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
91.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
92.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
93.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
94.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
95.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
96.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
97.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
98.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
99.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
100.
I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?
a)
Multiply by √2
b)
Divide by √2
c)
It's the same length as the hypotenuse.
d)
Divide by 2
101.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
102.
I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
103.

Find the value of m.

a)

10

b)

10√2

c)

20√2

d)

√2

104.

Find the value of x.

a)

9

b)

2√3

c)

1

d)

3

105.

What is the shortest distance between 3rd and 1st?

a)

60

b)

60√2

c)

30√2

d)

120

106.

What is the exact side length of a square that has a diagonal of 18?

a)

9

b)

18√2

c)

9√2

d)

√2

107.

An equilateral triangle has a height of 15. What is the exact length of the one side of the equilateral triangle?

a)

5√3

b)

10√3

c)

30√3

d)

10

108.

A 40 ft ladder is leaning against a house. The angle formed between the ladder and ground is 60 degrees. How many ft away from the house is the bottom of the ladder?

a)

40

b)

20

c)

20√3

d)

40√2

109.

Find b.

a)

16√3

b)

16

c)

8√3

d)

8

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