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Geometry Final Review 2021

Total questions: 132

Worksheet time: 7hrs 9mins

Name
Class
Date
1.

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

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

2.

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

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

3.

Which quadrilateral(s) have an interior angle sum of 360°? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

4.

Which quadrilateral(s) have two distinct pairs of congruent adjacent sides? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

5.

Which quadrilateral(s) have only one pair of congruent angles? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

6.

Which quadrilateral(s) have perpendicular diagonals? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

7.

Which quadrilateral(s) have only one pair of parallel sides? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

8.

Which quadrilateral(s) have leg angles (angles that share the same leg) that are supplementary? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

9.

Which quadrilateral(s) have parallel opposite sides? Select all that apply.

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

10.

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

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

11.

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

a)

Kite

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

e)

Rectangle

12.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
13.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
14.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
15.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
16.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
17.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
18.
The figure is a parallelogram.  
Solve for x.  
a)
9
b)
6
c)
10
d)
2
19.
Find the measure of angle b.
a)
b = 51
b)
b = 129
20.

Find the value of x and y.

a)

x = 4, y = 4

b)

x = 4, y = 116

c)

x = 3, y = 116

d)

x = 116, y = 116

21.

Find the value of j and k.

a)

j = 4.5, k = 2

b)

j = 4.5, k = 5

c)

j = 3, k = 10

d)

j = 5, k = 5

22.
A rectangle is also a _____________
a)
square
b)
parallelogram
c)
rhombus
d)
it is just a rectangle
23.
The diagonals of a ________ are congruent
a)
Parallelogram
b)
Rectangle and square
c)
Rhombus and square
d)
Trapezoid
24.
A rhombus has all of the properties of a 
a)
Parallelogram
b)
Trapezoid
c)
Kite
d)
Square
25.
Which statement is FALSE? 
A parallelogram _____________
a)
Has 2 sets of parallel sides
b)
Has diagonals that are perpendicular
c)
Has diagonals that bisect each other
26.
ABCD is a rhombus
What is the measurement of angle AED? 
a)
60 
b)
45
c)
90
d)
180
27.
Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?
a)
Trapezoid
b)
Triangle
c)
Square
d)
Hexagon
28.
A rectangle is can also be called a...
a)
Parallelogram
b)
Trapezoid
c)
Rhombus
d)
Pentagon
29.
Classify the quadrilateral in as many ways as possible.
a)
quadrilateral, parallelogram
b)
rectangle
c)
quadrilateral,parallelogram, rectangle
d)
quadrilateral,parallelogram, rectangle, square
30.

Which conclusion can be drawn?

a)

All quadrilaterals are kites, but all kites are not quadrilaterals.

b)

All parallelograms are rhombi, but all rhombi are not parallelograms.

c)

All squares are parallelograms, but all parallelograms are not squares.

d)

All parallelograms are rectangles, but all rectangles are not parallelograms.

31.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

32.

Which statement is always true for parallelograms?

a)

All sides have the same length

b)

All angles have the same measure

c)

Opposite sides are equal in length

d)

Opposite angles have different measures

33.

Colton drew a parallelogram with four sides of equal length and two pairs of equal angles. What shape did he draw?

a)

kite

b)

rectangle

c)

square

d)

trapezoid

34.

Brayden is working on a report in which he will compare and contrast the different types of quadrilaterals. Which statement should NOT be included in his report?

a)

All rhombuses are squares.

b)

All squares are parallelograms.

c)

All squares and rectangles have opposite sides that are congruent.

d)

All parallelograms, rectangles, and squares have opposite angles that are congruent.

35.
Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?
a)
Trapezoid
b)
Triangle
c)
Square
d)
Hexagon
36.
A rectangle is can also be called a...
a)
Parallelogram
b)
Trapezoid
c)
Rhombus
d)
Pentagon
37.
Classify this quadrilateral in as many ways as possible.
a)
quadrilateral, parallelogram
b)
quadrilateral, rhombus, paralleogram
c)
quadrilateral, paralellogram, rectangle
d)
quadrilateral, parallelogram, trapezoid
38.
Classify this quadrilateral in as many ways as possible.
a)
quadrilateral, parallelogram, rhombus, square
b)
quadrilateral, parallelogram
c)
quadrilateral, rhombus
d)
quadrilateral, parallelogram, rhombus
39.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
40.
Which best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
41.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
42.
How many degrees are in a circle?
a)
90
b)
180
c)
270
d)
360
43.
How many degrees are in a semicircle?
a)
90
b)
180
c)
270
d)
360
44.
Which segment is the diameter?
a)
AC
b)
BD
c)
LM
d)
CE
45.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
46.
A ____ is a line, ray, or segment that intersects a circle at two points.
a)
Tangent
b)
Secant
c)
Radius
d)
Arc
47.
An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.
a)
right angle
b)
acute angle
c)
inscribed angle
d)
intercepted angle
48.
A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.
a)
tangent
b)
secant
c)
radius
d)
arc
49.
Segments with endpoints on a circle are called _____.
a)
arcs
b)
radii
c)
chords
d)
polygons
50.
What is the value of x?
a)
11
b)
88
c)
44
d)
22
51.
What is the value of y?
a)
27
b)
54
c)
108
d)
540
52.
What is the value of w?
a)
52
b)
104
c)
76
d)
108
53.
What is the value of x?
a)
8
b)
15
c)
13
d)
10
54.
What is the value of x?
a)
75
b)
90
c)
150
d)
180
55.
What is the value of w?
a)
75
b)
105
c)
150
d)
210
56.
Determine the value of all three variables. Rank a, b, and c in order from greatest to least.
a)
a,b,c
b)
b,a,c
c)
c,a,b
d)
c,b,a
57.
What is the value of c? Round to the nearest whole number.
a)
2
b)
3
c)
4
d)
5
58.
What is the value of y? Round to the nearest whole number.
a)
16
b)
17
c)
18
d)
19
59.
Calculate the value of x.
a)
13
b)
14
c)
15
d)
16
60.
Determine the value of (x+y). Round to the nearest whole number.
a)
6
b)
8
c)
10
d)
12
61.

What is the area of this circle?

a)

4π

b)

8π

c)

16π

d)

π

62.

What is the area of this circle?

a)

25π

b)

10π

c)

π

d)

5π

63.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

64.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

65.

What is the area of the shaded region? Round to the nearest hundredth.

a)

8.37

b)

2.09

c)

33.49

d)

4.19

66.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

13.96

b)

139.56

c)

27.91

d)

558.22

67.

FIND THE SECTOR AREA OUTLINED IN BOLD

a)

A

b)

B

c)

C

d)

D

68.
Danielle wants to make a cookies for 3 friends. The radius of a cookie is 5 inches. If she wants to ice ALL 3 of the cookies, how many square inches of cookies must she cover with icing?
a)
47.1 in2
b)
235.5 in2
c)
78.5 in2
d)
15.7 in2 
69.

A circle has a circumference of 36π meters. What is the radius of the circle?

a)

36 meters

b)

6 meters

c)

12 meters

d)

18 meters

70.

Find the area of the shaded sector. Use 3.14 for pi. Round to the nearest tenth.

a)

7.9 units 2

b)

24.7 units2

c)

10.6 units2

d)

98.9 units2

71.

An irregular polygon is:

a)

Is not a Polygon

b)

A polygon with congruent vertex

c)

A polygon with different sides and different angles

d)

A polygon with same sides and same angles

72.

The name of a polygon with 5 sides is:

a)

Hexagon

b)

Pentagon

c)

Heptagon

d)

Octagon

73.

Which shape is not a polygon

a)
b)
c)
d)
74.

In a regular polygon, the line from the center to an outer vertice is a(n)

a)

Apothem

b)

Central Angle

c)

Radius

d)

Regular Polygon

75.

In a regular polygon the line from the center to the mid-point of an outer side is a(n)

a)

Radius

b)

Central Angle

c)

Sine

d)

Apothem

76.

Find the area of this regular polygon.

a)

84.9 m2

b)

82.3 m2

c)

74.9 m2

d)

62 m2

77.

Find the area of this regular polygon

a)

81.8 m2

b)

204.4 m2

c)

408.8 m2

d)

40.8 m2

78.

Find the area of the regular polygon

a)

172.0 in.2

b)

170.0 in.2

c)

17.2 in2

d)

50 in.2

79.

Find the area of the regular polygon.

a)

259.8 m

b)

259.8 m2

c)

259.8 cm

d)

259.8 cm2

80.

What is a real-world application of polygons (select all that apply).

a)

Video Game Design

b)

Floor Design

c)

Buying Shoes

d)

Feeding your pet

81.

Find the area of the regular polygon.

a)

122 ft2

b)

27.7 ft2

c)

124.7 ft2

d)

363.2 ft2

82.

What is the formula for area of a regular polygon.

a)

½⋅apothem⋅perimeter

b)

a2 + b2 = c2

c)

πr2

d)

√x2+y2

83.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
84.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
85.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.

a)

16.4 cm3

b)

31.7 cm3

c)

31.4 cm3

d)

22.0 cm3

86.
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Prism
d)
Rectangular Pyramid
87.
Given the fact that the volume of the box is 350000 cm and the volume of each juice box is 350 cm3.Approximately how many juice boxes will fit into the large box ?
a)
100
b)
200
c)
1000
d)
2000
88.
What is the surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
89.
How do you find the AREA of a TRIANGLE?
a)
Length x Width divided by 2
b)
Length x width
c)
1/3 (Length x width)
d)
Base x Height
90.
a)
Rectangular Prism
b)
Cube
c)
Rectangular Pyramid
d)
Triangular Prism
91.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Square Pyramid
d)
Square Prism
92.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
93.
How many faces does this shape have?
a)
6
b)
3
c)
9
d)
5
94.
Is surface area.......
a)
Filling in a 3 dimensional shape 
b)
wrapping the outside of a 3 dimensional shape
95.
What is the volume of the cereal box?
a)
23 in3
b)
97 in3
c)
132 in3
d)
288 in3
96.
What is the volume of the pyramid?  
a)
V = 1152 ft3
b)
V= 1440 ft3
c)
V = 384 ft3
d)
V = 576 ft3
97.
Find the volume of the cone.  
a)
V = 405π cm3
b)
V = 324π cm3
c)
V = 972π cm3
d)
V = 1215π cm3
98.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

99.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

100.

A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?

a)

1/2

b)

1/4

c)

5/6

d)

2/3

101.

A coin is to be tossed twice. p(t, t) = ___

a)

1/4

b)

1/2

c)

2

d)

1/8

102.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

103.

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

a)

1/2

b)

1/12

c)

1/6

d)

1/4

104.

How many cards are in a standard deck of cards?

a)

52

b)

56

c)

64

d)

42

105.

How many red cards are in a standard deck of cards?

a)

16

b)

20

c)

26

d)

13

106.

One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?

a)

1/13

b)

1/4

c)

3/16

d)

1/10

107.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

108.

Sarah, Sammie, Victor, Vicki, and Valerie are in math group. Two students are randomly picked to be the co-leaders. What is the probability that the students picked were Sammie and Victor?

a)

1/25

b)

2/5

c)

1/5

d)

1/20

109.

Sarah, Sammie, Victor, Vicki, Valerie are in a math group. Two students are randomly chosen to be co-leaders. What is the probability that both students' names begin with the letter V?

a)

3/5 times 3/5 = 9/25

b)

3/5 times 1/2 = 3/10

c)

1/5 times 2/5 = 2/15

d)

3/5 times 1/4 = 3/20

110.

Sarah, Sammie, Victor, Vicki, Valerie are in a math group. Two students are randomly chosen to be co-leaders. What is the probability that both students' names begin with the letter V?

a)

3/5 times 3/5 = 9/25

b)

3/5 times 1/2 = 3/10

c)

1/5 times 2/5 = 2/15

d)

3/5 times 1/4 = 3/20

111.

A spinner is spun twice. What is the probability of spinning green both times?

a)

1/16

b)

1/4

c)

1/2

d)

1/8

112.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

113.

If 33% of the students at Warren Middle School have a pet, then what is the probability of the students who do not have a pet?

a)

33%

b)

77%

c)

67%

d)

50%

114.

While Tim is waiting for class to start, he pulls a quarter from his pocket. How many outcomes are possible if he flips the quarter 3 times?

a)

3

b)

6

c)

12

d)

8

115.
Josefina pulled 3 red marbles, 5 green marbles, 8 pink marbles, and 12 yellow marbles out of a bag. If she repeats this experiment 200 times, about how many pink marbles should she expect to pull from the bag?
a)
55
b)
57
c)
59
d)
53
116.

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

a)

.0267

b)

37.5

c)

.02

d)

.3333

117.

The probability that a woman likes the color blue is 10%. The probability of liking blue is 40%. What is the probability that a woman is chosen given they liked the color blue?

a)

4

b)

.4

c)

.1

d)

.25

118.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
119.
The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?
a)
1/2
b)
20/15
c)
8/15
d)
6/8
120.

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

a)

59.5%

b)

10.5%

c)

1.6%

d)

Not enough information

121.

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

a)

16%

b)

1.38%

c)

72.3%

d)

Not enough information

122.

P(A) = 0.7

P(B) = 0.5

P(A∩B) = 0.2


Find P(A|B)...

a)

2/7

b)

2/5

c)

5/7

d)

1/6

123.

P(A) = 5/8

P(B) = 3/5

P(A∩B) = 1/3


Find P(B|A)...

a)

5/9

b)

8/15

c)

24/25

d)

4/9

124.

P(A) = 2/5

P(B) = 3/4

P(A∩B) = 1/10


Find P(A|B)...

a)

1/4

b)

2/15

c)

3/10

d)

2/23

125.

P(A) = 0.6

P(B) = 0.4

P(A∩B) = 0.3


Find P(A'∩B)...

a)

0.7

b)

0.3

c)

0.1

d)

1

126.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
127.
What is P(not Sport | not Foreign Language)?
a)
23/26
b)
14/23
c)
3/13
d)
7/13
128.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
75%
b)
45%
c)
50%
d)
80%
129.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
15.3%
b)
24.5%
c)
26.9%
d)
21.5%
130.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
94.8%
b)
80%
c)
60%
d)
45.6%
131.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
52.3%
b)
51.4%
c)
47.6%
d)
45.7%
132.

There are 200 students at Richmond High School (RHS). The set of students who play a sport, S, and the set of students who take an art class, A, are shown in the Venn diagram. A student is selected at random from RHS. What is the probability that the selected student plays a sport OR takes an art class?

a)

P(S ⋃ A) = 91%

b)

P(S ⋃ A) = 34%

c)

P(S ⋃ A) = 21%

d)

P(S ⋃ A) = 41%

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