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Worksheets

Mid Term Review

Total questions: 133

Worksheet time: 4hrs 26mins

Name
Class
Date
1.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
2.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
3.
What is the measure of arc AXB
a)
50
b)
100
c)
180
d)
260
4.

1. measure of arc JK

a)

339

b)

159

c)

201

d)

21

5.

What is the measure of Arc AB in the figure?

a)

42⁰

b)

84⁰

c)

126⁰

d)

168⁰

6.

What is the measure of Arc AB in the figure?

a)

45

b)

60⁰

c)

90⁰

d)

180⁰

7.

Find the measure of the indicated central angle.

a)

40°40\degree  

b)

20°20\degree  

c)

60°60\degree  

d)

80°80\degree  

8.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
9.
Which quadrilaterals has four right angles?
a)

Square, Kite

b)
Square, Rectangle
c)
Parallelogram, Rectangle
10.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
11.

Which quadrilateral(s) have four congruent sides AND four congruent angles? Select all that apply.

a)

Parallelogram

b)

Rhombus

c)

Rectangle

d)

Square

12.

Which quadrilateral(s) have four right angles? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

13.

Which quadrilateral(s) have four congruent sides? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

14.

Which quadrilateral(s) have congruent opposite angles? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

15.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
16.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
17.
Classify this quadrilateral in as many ways as possible.
a)
quadrilateral, parallelogram
b)
quadrilateral, rhombus, paralleogram
c)
quadrilateral, paralellogram, rectangle
d)
quadrilateral, parallelogram, trapezoid
18.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
19.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
20.
Find m∠U.
a)
95°
b)
85°
c)
75°
d)
90°
21.
Find x.
a)
82
b)
92
c)
98
d)
102
22.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

23.

Which of the following are properties of parallelograms (check all that apply)

a)

Two pairs of sides are parallel

b)

Opposite sides are congruent

c)

Diagonals are congruent

d)

Diagonals bisect each other

e)

Opposite angles are supplementary

24.
Find m∠U.
a)
95°
b)
85°
c)
75°
d)
90°
25.

Which triangle congruence postulate proves these two triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

HL

26.

Are these triangles congruent? If so, which postulate proves they are.

a)

Yes;

SSS

b)

Yes;

SS

c)

Not Congruent

d)

Yes;

SAS

27.

Are these triangles congruent? If so, which postulate proves they are.

a)

Yes;

ASA

b)

Yes;

AA

c)

Not Congruent

d)

Yes;

SAS

28.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

29.

Match the triangles to the congruence theorem.

a)
1.

SSS

b)
2.

AAS

c)
3.

SAS

d)
4.

ASA

30.

Which triangle congruence proves that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

31.

Which triangle congruence proves that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

32.

Which triangle congruence proves that the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

33.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\   BC  ?\overline{BC}\ \cong\ ?  

a)

DE\overline{DE}  

b)

EF\overline{EF}  

c)

DF\overline{DF}  

d)

FD\overline{FD}  

34.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\  
A  ?\angle A\ \cong\ ?  

a)

D\angle D  

b)

E\angle E  

c)

F\angle F  

d)

C\angle C  

35.

If ∆LMK ≅ ∆LMT, then ∠K ≅ ____ 

a)

LL  

b)

L\angle L  

c)

T\angle T  

d)

T

36.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
37.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
38.

How are the triangles congruent?

a)

SSS

b)

SAS

c)

Not Congruent

39.

What is the measure of angle b?

a)

36o

b)

56o

c)

63o

d)

117o

40.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

41.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

42.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

43.

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

44.

Which of the following terms best describes Angle d? 

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

45.

Find <S

a)

A

b)

B

c)

C

d)

D

46.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
47.
Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 
a)
Yes
b)
No
48.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
49.
Can a triangle be formed with side lengths:
4, 7, 10
a)
yes
b)
no
c)
not enough information
50.
Can a triangle be formed with side lengths:
17, 9, 30
a)
yes
b)
no
c)
not enough information
51.

State if the three numbers can be measures of the sides of a triangle.
6,6,36,6,3  

a)

Yes

b)

No

52.

State if the three numbers can be measures of the sides of a triangle.
9,12,229,12,22  

a)

Yes

b)

No

53.

State if the three numbers can be measures of the sides of a triangle.
11,1,1211,1,12  

a)

Yes

b)

No

54.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
55.

Which is a counterexample to the following statement?


If you add two numbers, then the sum is odd.

a)

2+5=7

b)

3+2=5

c)

1+8=9

d)

2+4=6

56.

Provide a counterexample to the following claim:


"All quadrilaterals have at least one set of parallel sides."

a)

Trapezoid

b)

Rectangle

c)

Rhombus

d)

Kite

57.

Provide a counterexample to the following claim:


"If a shape has four congruent sides, then it is a square."

(a)  

58.

"If two angles of a triangle are congruent, then it is an isosceles triangle."

Which figure represents a COUNTEREXAMPLE to this conditional statement?

a)

Acute Triangle

b)

Obtuse Triangle

c)

Equilateral Triangle

d)

Scalene Triangle

59.
Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.
a)
quadrilateral
b)
rectangle
c)
square
d)
triangle
60.

Which of the following is a counterexample for this conditional statement:

If a vehicle has four wheels, then it is a truck.

a)

a scooter

b)

a car

c)

a bicyle

d)

a motorcyle

61.

Which is a counterexample to the following statement?


If a number is prime, then it is odd.

a)

29

b)

5

c)

2

d)

1

62.

Which is a counterexample to the following statement?


If an animal is brown, then it is a dog.

a)

Squirrel

b)

Chocolate lab

c)

White rabbit

d)

Blue jay

63.
The image show which point of concurrency
a)
circumcenter
b)
centroid
c)
incenter
d)
orthocenter
64.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
65.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
66.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

67.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

68.

Which of the following points is the BALANCE POINT of a triangle. The correct method is shown in the triangle if you look at the markings.

a)

A. Circumcenter

b)

B. Orthocenter

c)

C. Centroid

d)

D. Midpoint

69.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

70.

Find the indicated angle measure. (What is ?)

a)

100°

b)

39°

c)

107°

d)

73°

71.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
72.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

73.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Incenter

c)

Orthocenter

d)

Centroid

74.

What point of Concurrency is pictured?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

75.

What is this point of concurrency?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

76.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Incenter

c)

Orthocenter

d)

Centroid

77.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
neither
d)
Pokecenter
78.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

79.
Name the point of concurrency for perpendicular bisectors.
a)
Circumcenter
b)
Incenter
c)
Circumference
d)
Centroid
80.

Identify the center.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

81.

How many lines of Symmetry does this hexagon have?

a)

3

b)

6

c)

9

d)

12

82.

What are the angles of rotation for an octagon?

a)

multiples of 45

b)

multiples of 51.4

c)

multiples of 60

d)

multiples of 72

83.

Identify the smallest angle of rotation that maps the image to itself.

a)

72°

b)

180°

c)

144°

d)

45°

84.

How many lines of symmetry does a square have?

a)

1

b)

2

c)

4

d)

8

85.
How many lines of symmetry does the picture have (equilateral triangle)? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
3 lines of symmetry
86.

How many lines of symmetries does the regular polygon have?

a)

1

b)

3

c)

6

d)

7

87.

How many lines of symmetries does the regular polygon have?

a)

8

b)

3

c)

6

d)

7

88.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

89.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

90.

What is the smallest degree of rotational symmetry?

a)

90°

b)

72°

c)

60°

d)

40°

91.

What is the smallest degree of rotational symmetry?

a)

90°

b)

45°

c)

60°

d)

120°

92.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 36 degrees counterclockwise

b)

Rotation of 72 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Rotation of 60 degrees counterclockwise

93.
a)

Trapezoid

b)

Parallelogram

c)

Rhombus

d)

Kite

e)

Rectangle

94.
a)

Trapezoid

b)

Parallelogram

c)

Rhombus

d)

Kite

e)

Rectangle

95.

A ____ is a rhombus with right angles.

a)

kite

b)

parallelogram

c)

rectangle

d)

square

96.

Solve for x

a)

49

b)

58

c)

70

d)

94

97.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

98.

LK  ?\overline{LK}\ \cong\ ?  

a)

JE\overline{JE}  

b)

JF\overline{JF}  

c)

EF\overline{EF}  

d)

KJ\overline{KJ}  

99.

What is the name of the given shape and how many lines of symmetry does it have?

a)

Hexagon with 6 lines of symmetry

b)

Pentagon with 4 lines of symmetry

c)

Pentagon with 5 lines of symmetry

d)

Octagon with 7 lines of symmetry

100.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
101.

Find the midpoint: (-1,9), (7,-1)

a)

(4,5)

b)

(4,3)

c)

(3,4)

d)

(5,4)

102.

Find the midpoint: (3,9),(1,5)\left(3,9\right),\left(-1,-5\right)  

a)

(1,2)\left(-1,-2\right)  

b)

(2,7)\left(2,7\right)  

c)

(2,7)\left(-2,-7\right)  

d)

(1,2)\left(1,2\right)  

103.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
104.
Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   
a)
(0.5, 0.5)
b)
(6.5, -2.5)
c)
(-1.5, 7)
d)
(-2.5, 6.5)
105.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
(4, 3.5)
b)
(3.5, 5)
c)
(3.5, 4.5)
d)
(5, 3.5)
106.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
107.

Which calculation would determine the coordinates of the midpoint of the segment that connects

(2,7)\left(-2,7\right)   and   (6,5)\left(6,-5\right)  

a)

(2+62,7+52)\left(\frac{-2+6}{2},\frac{7+-5}{2}\right)  

b)

(2+72,6+52)\left(\frac{-2+7}{2},\frac{6+-5}{2}\right)  

c)

(2+52,7+62)\left(\frac{-2+-5}{2},\frac{7+6}{2}\right)  

d)

(2+6,7+5)\left(-2+6,7+-5\right)  

108.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
109.
What's the distance between (-11,4) and (4,4)?
a)
-15
b)
15
c)
7
d)
-7
110.

The distance between two points is always positive:

a)

True

b)

False

111.

Find the distance between the pair of points R(-4, 1) and F(0, -2).

a)

5

b)

8.60

c)

7

d)

9.22

112.

Find the distance between each pair of points.

(-6,-10)  and (-2,-10)

a)

d=6d=6  

b)

d=4d=4  

c)

d=15d=15  

d)

d=12d=12  

113.

Find the distance between (-3,5) and (1,5).

a)

16

b)

-16

c)

4

d)

-4

114.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
115.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
116.
Solve for x
a)
5
b)
4
c)
3
d)
2
117.
Solve for y
a)
2
b)
3
c)
4
d)
5
118.

Solve for x.

a)

10

b)

15

c)

20

d)

25

119.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
120.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
121.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\  
A  ?\angle A\ \cong\ ?  

a)

D\angle D  

b)

E\angle E  

c)

F\angle F  

d)

C\angle C  

122.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\   BC  ?\overline{BC}\ \cong\ ?  

a)

DE\overline{DE}  

b)

EF\overline{EF}  

c)

DF\overline{DF}  

d)

FD\overline{FD}  

123.
x = 
a)
87
b)
42
c)
17
d)
8
124.
Solve for x
a)
8
b)
4
c)
12
d)
6
125.

How many degrees are in 1 part of a circle that is cut into 4 parts?

a)

180

b)

75

c)

90

d)

360

126.

What is the best estimated of the red angle?

a)

30

b)

45

c)

90

d)

180

127.

How many degrees are in a circle?

a)

90

b)

180

c)

270

d)

360

128.

Solve for the missing angle.

a)

45o

b)

90o

c)

22.5o

d)

128o

129.

What is the measure of the angle?

a)

60°60\degree  

b)

90°90\degree  

c)

40°40\degree  

d)

360°360\degree  

130.
How many degrees make up the marked part of this circle?
a)
500
b)
60
c)
72
d)
90
131.
How many degrees are in 1 part of a circle that is cut into 4 parts?
a)
180
b)
75
c)
90
d)
360
132.

The measure of arc XW is

a)

45




b)

90

c)

135

d)

67.5

133.

The measure of arc XW is

a)

45




b)

90

c)

135

d)

67.5